How to Find GCF of 9701/656, 2111/1224?

GCF of 9701/656, 2111/1224

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 9701/656, 2111/1224 i.e 1/100368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9701/656, 2111/1224.

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 9701/656,2111/1224?

Given fractions are 9701/656,2111/1224

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 9701/656,2111/1224, numerators are 9701,2111

Denominators are 656,1224

The GCF of 9701,2111 is 1 .

LCM of 656,1224 is 100368.

The greatest common factor of 9701/656,2111/1224 = [GCF of 9701,2111]/[LCM of 656,1224]= 1/100368

Therefore, the GCF of 9701/656,2111/1224 is 1/100368.

Greatest Common Factor of 9701,2111

To find the highest common factor of 9701,2111, we have to find the factors of both numbers and list the highest common factor.

The factors of 9701 are 1, 89, 109, 9701

The factors of 2111 are 1, 2111

The HCF of 9701,2111 is 1.

Lets's calculate GCF of 9701,2111

Greatest Common Factor (GCF) of 9701,2111 By Common Division

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

Greatest Common Factor of 9701,2111 By Matching Biggest Common Factor Method

Now, list down the factors of 9701

1,89,109,9701

Now, list down the factors of 2111

1,2111

Greatest Common Factor

We found the factors 9701,2111 . The biggest common factor number is the GCF number.
So the greatest common factor 9701,2111 is 1.

Lets's calculate LCM of 656,1224

Lowest Common Multiple of 656,1224 using Common Division

2	656, 1224
2	328, 612
2	164, 306
	82, 153

∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 153 = 100368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100368

Therefore, the GCF of Fractions 9701/656,2111/1224 is 1/100368

Least Common Multiple of 656,1224 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 656,1224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,1224) = 8

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

GCF(656,1224) x common factors =8 x 1 = 8

LCM(656,1224) = ( 656 × 1224 ) / 8

LCM(656,1224) = 802944 / 8

LCM(656,1224) = 100368

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FAQs on GCF of Fractions of 9701/656, 2111/1224

1. What is the HCF of 9701,2111?

The HCF of 9701,2111 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 9701/656, 2111/1224?

Answer: GCF of Numerators as per given numbers 9701/656, 2111/1224 is

GCF of Numerators i.e. for 9701,2111 is 1

LCM of denominators i.e. for 656,1224 is 100368.

Thus, GCF of Fractions is 1/100368.Finally, GCF of Fractions for 9701/656, 2111/1224 is 1/100368.