How to Find GCF of 7531/156, 5425/194?

GCF of 7531/156, 5425/194

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 7531/156, 5425/194 i.e 1/15132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7531/156, 5425/194.

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 7531/156,5425/194?

Given fractions are 7531/156,5425/194

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 7531/156,5425/194, numerators are 7531,5425

Denominators are 156,194

The GCF of 7531,5425 is 1 .

LCM of 156,194 is 15132.

The greatest common factor of 7531/156,5425/194 = [GCF of 7531,5425]/[LCM of 156,194]= 1/15132

Therefore, the GCF of 7531/156,5425/194 is 1/15132.

Greatest Common Factor of 7531,5425

To find the highest common factor of 7531,5425, we have to find the factors of both numbers and list the highest common factor.

The factors of 7531 are 1, 17, 443, 7531

The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425

The HCF of 7531,5425 is 1.

Lets's calculate GCF of 7531,5425

Greatest Common Factor (GCF) of 7531,5425 By Common Division

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

Greatest Common Factor of 7531,5425 By Matching Biggest Common Factor Method

Now, list down the factors of 7531

1,17,443,7531

Now, list down the factors of 5425

1,5,7,25,31,35,155,175,217,775,1085,5425

Greatest Common Factor

We found the factors 7531,5425 . The biggest common factor number is the GCF number.
So the greatest common factor 7531,5425 is 1.

Lets's calculate LCM of 156,194

Lowest Common Multiple of 156,194 using Common Division

2	156, 194
	78, 97

∴ So the LCM of the given numbers is 2 x 78 x 97 = 15132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15132

Therefore, the GCF of Fractions 7531/156,5425/194 is 1/15132

Least Common Multiple of 156,194 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 156,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,194) = 2

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

GCF(156,194) x common factors =2 x 1 = 2

LCM(156,194) = ( 156 × 194 ) / 2

LCM(156,194) = 30264 / 2

LCM(156,194) = 15132

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FAQs on GCF of Fractions of 7531/156, 5425/194

1. What is the HCF of 7531,5425?

The HCF of 7531,5425 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 7531/156, 5425/194?

Answer: GCF of Numerators as per given numbers 7531/156, 5425/194 is

GCF of Numerators i.e. for 7531,5425 is 1

LCM of denominators i.e. for 156,194 is 15132.

Thus, GCF of Fractions is 1/15132.Finally, GCF of Fractions for 7531/156, 5425/194 is 1/15132.