How to Find GCF of 9695/142, 4651/8918?

GCF of 9695/142, 4651/8918

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 9695/142, 4651/8918 i.e 1/633178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9695/142, 4651/8918.

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 9695/142,4651/8918?

Given fractions are 9695/142,4651/8918

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 9695/142,4651/8918, numerators are 9695,4651

Denominators are 142,8918

The GCF of 9695,4651 is 1 .

LCM of 142,8918 is 633178.

The greatest common factor of 9695/142,4651/8918 = [GCF of 9695,4651]/[LCM of 142,8918]= 1/633178

Therefore, the GCF of 9695/142,4651/8918 is 1/633178.

Greatest Common Factor of 9695,4651

To find the highest common factor of 9695,4651, we have to find the factors of both numbers and list the highest common factor.

The factors of 9695 are 1, 5, 7, 35, 277, 1385, 1939, 9695

The factors of 4651 are 1, 4651

The HCF of 9695,4651 is 1.

Lets's calculate GCF of 9695,4651

Greatest Common Factor (GCF) of 9695,4651 By Common Division

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

Greatest Common Factor of 9695,4651 By Matching Biggest Common Factor Method

Now, list down the factors of 9695

1,5,7,35,277,1385,1939,9695

Now, list down the factors of 4651

1,4651

Greatest Common Factor

We found the factors 9695,4651 . The biggest common factor number is the GCF number.
So the greatest common factor 9695,4651 is 1.

Lets's calculate LCM of 142,8918

Lowest Common Multiple of 142,8918 using Common Division

2	142, 8918
	71, 4459

∴ So the LCM of the given numbers is 2 x 71 x 4459 = 633178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633178

Therefore, the GCF of Fractions 9695/142,4651/8918 is 1/633178

Least Common Multiple of 142,8918 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 142,8918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,8918) = 2

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

GCF(142,8918) x common factors =2 x 1 = 2

LCM(142,8918) = ( 142 × 8918 ) / 2

LCM(142,8918) = 1266356 / 2

LCM(142,8918) = 633178

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FAQs on GCF of Fractions of 9695/142, 4651/8918

1. What is the HCF of 9695,4651?

The HCF of 9695,4651 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 9695/142, 4651/8918?

Answer: GCF of Numerators as per given numbers 9695/142, 4651/8918 is

GCF of Numerators i.e. for 9695,4651 is 1

LCM of denominators i.e. for 142,8918 is 633178.

Thus, GCF of Fractions is 1/633178.Finally, GCF of Fractions for 9695/142, 4651/8918 is 1/633178.