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GCF of 7650/602, 4034/2228

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 7650/602, 4034/2228 i.e 2/670628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7650/602, 4034/2228.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7650/602,4034/2228?

Given fractions are 7650/602,4034/2228

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7650/602,4034/2228, numerators are 7650,4034

Denominators are 602,2228

The GCF of 7650,4034 is 2 .

LCM of 602,2228 is 670628.

The greatest common factor of 7650/602,4034/2228 = [GCF of 7650,4034]/[LCM of 602,2228]= 2/670628

Therefore, the GCF of 7650/602,4034/2228 is 2/670628.

Greatest Common Factor of 7650,4034

To find the highest common factor of 7650,4034, we have to find the factors of both numbers and list the highest common factor.

The factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650

The factors of 4034 are 1, 2, 2017, 4034

The HCF of 7650,4034 is 2.

Lets's calculate GCF of 7650,4034

Greatest Common Factor (GCF) of 7650,4034 By Common Division

2 7650, 4034
3825, 2017

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7650,4034 By Matching Biggest Common Factor Method

Greatest Common Factor of 7650,4034 By Matching Biggest Common Factor Method

Now, list down the factors of 7650

:

1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650

Now, list down the factors of 4034

:

1,2,2017,4034

Greatest Common Factor

We found the factors 7650,4034 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,4034 is 2.


Lets's calculate LCM of 602,2228

Lowest Common Multiple of 602,2228 using Common Division

2 602, 2228
301, 1114

∴ So the LCM of the given numbers is 2 x 301 x 1114 = 670628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/670628

Therefore, the GCF of Fractions 7650/602,4034/2228 is 2/670628

Least Common Multiple of 602,2228 with GCF Formula

Least Common Multiple of 602,2228 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 602,2228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,2228) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(602,2228) x common factors =2 x 1 = 2

LCM(602,2228) = ( 602 × 2228 ) / 2

LCM(602,2228) = 1341256 / 2

LCM(602,2228) = 670628


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7650/602, 4034/2228

1. What is the HCF of 7650,4034?

The HCF of 7650,4034 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7650/602, 4034/2228?

Answer: GCF of Numerators as per given numbers 7650/602, 4034/2228 is

GCF of Numerators i.e. for 7650,4034 is 2

LCM of denominators i.e. for 602,2228 is 670628.

Thus, GCF of Fractions is 2/670628.Finally, GCF of Fractions for 7650/602, 4034/2228 is 2/670628.