How to Find GCF of 7597/156, 7238/7832?

GCF of 7597/156, 7238/7832

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 7597/156, 7238/7832 i.e 1/305448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7597/156, 7238/7832.

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 7597/156,7238/7832?

Given fractions are 7597/156,7238/7832

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 7597/156,7238/7832, numerators are 7597,7238

Denominators are 156,7832

The GCF of 7597,7238 is 1 .

LCM of 156,7832 is 305448.

The greatest common factor of 7597/156,7238/7832 = [GCF of 7597,7238]/[LCM of 156,7832]= 1/305448

Therefore, the GCF of 7597/156,7238/7832 is 1/305448.

Greatest Common Factor of 7597,7238

To find the highest common factor of 7597,7238, we have to find the factors of both numbers and list the highest common factor.

The factors of 7597 are 1, 71, 107, 7597

The factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238

The HCF of 7597,7238 is 1.

Lets's calculate GCF of 7597,7238

Greatest Common Factor (GCF) of 7597,7238 By Common Division

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

Greatest Common Factor of 7597,7238 By Matching Biggest Common Factor Method

Now, list down the factors of 7597

1,71,107,7597

Now, list down the factors of 7238

1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238

Greatest Common Factor

We found the factors 7597,7238 . The biggest common factor number is the GCF number.
So the greatest common factor 7597,7238 is 1.

Lets's calculate LCM of 156,7832

Lowest Common Multiple of 156,7832 using Common Division

2	156, 7832
2	78, 3916
	39, 1958

∴ So the LCM of the given numbers is 2 x 2 x 39 x 1958 = 305448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305448

Therefore, the GCF of Fractions 7597/156,7238/7832 is 1/305448

Least Common Multiple of 156,7832 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 156,7832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,7832) = 4

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

GCF(156,7832) x common factors =4 x 1 = 4

LCM(156,7832) = ( 156 × 7832 ) / 4

LCM(156,7832) = 1221792 / 4

LCM(156,7832) = 305448

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FAQs on GCF of Fractions of 7597/156, 7238/7832

1. What is the HCF of 7597,7238?

The HCF of 7597,7238 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 7597/156, 7238/7832?

Answer: GCF of Numerators as per given numbers 7597/156, 7238/7832 is

GCF of Numerators i.e. for 7597,7238 is 1

LCM of denominators i.e. for 156,7832 is 305448.

Thus, GCF of Fractions is 1/305448.Finally, GCF of Fractions for 7597/156, 7238/7832 is 1/305448.