How to Find GCF of 3508/280, 4650/9088?

GCF of 3508/280, 4650/9088

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 3508/280, 4650/9088 i.e 2/318080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3508/280, 4650/9088.

Enter two or more fractions separated by "commas"

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

What is the GCF of 3508/280,4650/9088?

Given fractions are 3508/280,4650/9088

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 3508/280,4650/9088, numerators are 3508,4650

Denominators are 280,9088

The GCF of 3508,4650 is 2 .

LCM of 280,9088 is 318080.

The greatest common factor of 3508/280,4650/9088 = [GCF of 3508,4650]/[LCM of 280,9088]= 2/318080

Therefore, the GCF of 3508/280,4650/9088 is 2/318080.

Greatest Common Factor of 3508,4650

To find the highest common factor of 3508,4650, we have to find the factors of both numbers and list the highest common factor.

The factors of 3508 are 1, 2, 4, 877, 1754, 3508

The factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650

The HCF of 3508,4650 is 2.

Lets's calculate GCF of 3508,4650

Greatest Common Factor (GCF) of 3508,4650 By Common Division

2	3508, 4650
	1754, 2325

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

Greatest Common Factor of 3508,4650 By Matching Biggest Common Factor Method

Now, list down the factors of 3508

1,2,4,877,1754,3508

Now, list down the factors of 4650

1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650

Greatest Common Factor

We found the factors 3508,4650 . The biggest common factor number is the GCF number.
So the greatest common factor 3508,4650 is 2.

Lets's calculate LCM of 280,9088

Lowest Common Multiple of 280,9088 using Common Division

2	280, 9088
2	140, 4544
2	70, 2272
	35, 1136

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 1136 = 318080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318080

Therefore, the GCF of Fractions 3508/280,4650/9088 is 2/318080

Least Common Multiple of 280,9088 with GCF Formula

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

We need to calculate greatest common factor of 280,9088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,9088) = 8

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

GCF(280,9088) x common factors =8 x 1 = 8

LCM(280,9088) = ( 280 × 9088 ) / 8

LCM(280,9088) = 2544640 / 8

LCM(280,9088) = 318080

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FAQs on GCF of Fractions of 3508/280, 4650/9088

1. What is the HCF of 3508,4650?

The HCF of 3508,4650 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 3508/280, 4650/9088?

Answer: GCF of Numerators as per given numbers 3508/280, 4650/9088 is

GCF of Numerators i.e. for 3508,4650 is 2

LCM of denominators i.e. for 280,9088 is 318080.

Thus, GCF of Fractions is 2/318080.Finally, GCF of Fractions for 3508/280, 4650/9088 is 2/318080.