How to Find GCF of 9631/712, 9785/1636?

GCF of 9631/712, 9785/1636

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 9631/712, 9785/1636 i.e 1/291208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9631/712, 9785/1636.

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 9631/712,9785/1636?

Given fractions are 9631/712,9785/1636

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 9631/712,9785/1636, numerators are 9631,9785

Denominators are 712,1636

The GCF of 9631,9785 is 1 .

LCM of 712,1636 is 291208.

The greatest common factor of 9631/712,9785/1636 = [GCF of 9631,9785]/[LCM of 712,1636]= 1/291208

Therefore, the GCF of 9631/712,9785/1636 is 1/291208.

Greatest Common Factor of 9631,9785

To find the highest common factor of 9631,9785, we have to find the factors of both numbers and list the highest common factor.

The factors of 9631 are 1, 9631

The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785

The HCF of 9631,9785 is 1.

Lets's calculate GCF of 9631,9785

Greatest Common Factor (GCF) of 9631,9785 By Common Division

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

Greatest Common Factor of 9631,9785 By Matching Biggest Common Factor Method

Now, list down the factors of 9631

1,9631

Now, list down the factors of 9785

1,5,19,95,103,515,1957,9785

Greatest Common Factor

We found the factors 9631,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 9631,9785 is 1.

Lets's calculate LCM of 712,1636

Lowest Common Multiple of 712,1636 using Common Division

2	712, 1636
2	356, 818
	178, 409

∴ So the LCM of the given numbers is 2 x 2 x 178 x 409 = 291208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291208

Therefore, the GCF of Fractions 9631/712,9785/1636 is 1/291208

Least Common Multiple of 712,1636 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 712,1636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,1636) = 4

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

GCF(712,1636) x common factors =4 x 1 = 4

LCM(712,1636) = ( 712 × 1636 ) / 4

LCM(712,1636) = 1164832 / 4

LCM(712,1636) = 291208

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FAQs on GCF of Fractions of 9631/712, 9785/1636

1. What is the HCF of 9631,9785?

The HCF of 9631,9785 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 9631/712, 9785/1636?

Answer: GCF of Numerators as per given numbers 9631/712, 9785/1636 is

GCF of Numerators i.e. for 9631,9785 is 1

LCM of denominators i.e. for 712,1636 is 291208.

Thus, GCF of Fractions is 1/291208.Finally, GCF of Fractions for 9631/712, 9785/1636 is 1/291208.