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GCF of 3238/750, 1223/7152

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 3238/750, 1223/7152 i.e 1/894000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3238/750, 1223/7152.

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 3238/750,1223/7152?

Given fractions are 3238/750,1223/7152

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 3238/750,1223/7152, numerators are 3238,1223

Denominators are 750,7152

The GCF of 3238,1223 is 1 .

LCM of 750,7152 is 894000.

The greatest common factor of 3238/750,1223/7152 = [GCF of 3238,1223]/[LCM of 750,7152]= 1/894000

Therefore, the GCF of 3238/750,1223/7152 is 1/894000.

Greatest Common Factor of 3238,1223

To find the highest common factor of 3238,1223, we have to find the factors of both numbers and list the highest common factor.

The factors of 3238 are 1, 2, 1619, 3238

The factors of 1223 are 1, 1223

The HCF of 3238,1223 is 1.

Lets's calculate GCF of 3238,1223

Greatest Common Factor (GCF) of 3238,1223 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3238,1223 By Matching Biggest Common Factor Method

Greatest Common Factor of 3238,1223 By Matching Biggest Common Factor Method

Now, list down the factors of 3238

:

1,2,1619,3238

Now, list down the factors of 1223

:

1,1223

Greatest Common Factor

We found the factors 3238,1223 . The biggest common factor number is the GCF number.
So the greatest common factor 3238,1223 is 1.

Lets's calculate LCM of 750,7152

Lowest Common Multiple of 750,7152 using Common Division

2 750, 7152
3 375, 3576
125, 1192

∴ So the LCM of the given numbers is 2 x 3 x 125 x 1192 = 894000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894000

Therefore, the GCF of Fractions 3238/750,1223/7152 is 1/894000

Least Common Multiple of 750,7152 with GCF Formula

Least Common Multiple of 750,7152 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 750,7152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,7152) = 6

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

GCF(750,7152) x common factors =6 x 1 = 6

LCM(750,7152) = ( 750 × 7152 ) / 6

LCM(750,7152) = 5364000 / 6

LCM(750,7152) = 894000


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FAQs on GCF of Fractions of 3238/750, 1223/7152

1. What is the HCF of 3238,1223?

The HCF of 3238,1223 is 1

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 3238/750, 1223/7152?

Answer: GCF of Numerators as per given numbers 3238/750, 1223/7152 is

GCF of Numerators i.e. for 3238,1223 is 1

LCM of denominators i.e. for 750,7152 is 894000.

Thus, GCF of Fractions is 1/894000.Finally, GCF of Fractions for 3238/750, 1223/7152 is 1/894000.