How to Find GCF of 9601/977, 5202/5722?

GCF of 9601/977, 5202/5722

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 9601/977, 5202/5722 i.e 1/5590394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9601/977, 5202/5722.

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 9601/977,5202/5722?

Given fractions are 9601/977,5202/5722

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 9601/977,5202/5722, numerators are 9601,5202

Denominators are 977,5722

The GCF of 9601,5202 is 1 .

LCM of 977,5722 is 5590394.

The greatest common factor of 9601/977,5202/5722 = [GCF of 9601,5202]/[LCM of 977,5722]= 1/5590394

Therefore, the GCF of 9601/977,5202/5722 is 1/5590394.

Greatest Common Factor of 9601,5202

To find the highest common factor of 9601,5202, we have to find the factors of both numbers and list the highest common factor.

The factors of 9601 are 1, 9601

The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

The HCF of 9601,5202 is 1.

Lets's calculate GCF of 9601,5202

Greatest Common Factor (GCF) of 9601,5202 By Common Division

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

Greatest Common Factor of 9601,5202 By Matching Biggest Common Factor Method

Now, list down the factors of 9601

1,9601

Now, list down the factors of 5202

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Greatest Common Factor

We found the factors 9601,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 9601,5202 is 1.

Lets's calculate LCM of 977,5722

Lowest Common Multiple of 977,5722 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5590394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5590394

Therefore, the GCF of Fractions 9601/977,5202/5722 is 1/5590394

Least Common Multiple of 977,5722 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 977,5722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,5722) = 1

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

GCF(977,5722) x common factors =1 x 1 = 1

LCM(977,5722) = ( 977 × 5722 ) / 1

LCM(977,5722) = 5590394 / 1

LCM(977,5722) = 5590394

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FAQs on GCF of Fractions of 9601/977, 5202/5722

1. What is the HCF of 9601,5202?

The HCF of 9601,5202 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 9601/977, 5202/5722?

Answer: GCF of Numerators as per given numbers 9601/977, 5202/5722 is

GCF of Numerators i.e. for 9601,5202 is 1

LCM of denominators i.e. for 977,5722 is 5590394.

Thus, GCF of Fractions is 1/5590394.Finally, GCF of Fractions for 9601/977, 5202/5722 is 1/5590394.