How to Find GCF of 9877/592, 5352/3348?

GCF of 9877/592, 5352/3348

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 9877/592, 5352/3348 i.e 1/495504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9877/592, 5352/3348.

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 9877/592,5352/3348?

Given fractions are 9877/592,5352/3348

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 9877/592,5352/3348, numerators are 9877,5352

Denominators are 592,3348

The GCF of 9877,5352 is 1 .

LCM of 592,3348 is 495504.

The greatest common factor of 9877/592,5352/3348 = [GCF of 9877,5352]/[LCM of 592,3348]= 1/495504

Therefore, the GCF of 9877/592,5352/3348 is 1/495504.

Greatest Common Factor of 9877,5352

To find the highest common factor of 9877,5352, we have to find the factors of both numbers and list the highest common factor.

The factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877

The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352

The HCF of 9877,5352 is 1.

Lets's calculate GCF of 9877,5352

Greatest Common Factor (GCF) of 9877,5352 By Common Division

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

Greatest Common Factor of 9877,5352 By Matching Biggest Common Factor Method

Now, list down the factors of 9877

1,7,17,83,119,581,1411,9877

Now, list down the factors of 5352

1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352

Greatest Common Factor

We found the factors 9877,5352 . The biggest common factor number is the GCF number.
So the greatest common factor 9877,5352 is 1.

Lets's calculate LCM of 592,3348

Lowest Common Multiple of 592,3348 using Common Division

2	592, 3348
2	296, 1674
	148, 837

∴ So the LCM of the given numbers is 2 x 2 x 148 x 837 = 495504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495504

Therefore, the GCF of Fractions 9877/592,5352/3348 is 1/495504

Least Common Multiple of 592,3348 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 592,3348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,3348) = 4

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

GCF(592,3348) x common factors =4 x 1 = 4

LCM(592,3348) = ( 592 × 3348 ) / 4

LCM(592,3348) = 1982016 / 4

LCM(592,3348) = 495504

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9877/592, 5352/3348

1. What is the HCF of 9877,5352?

The HCF of 9877,5352 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 9877/592, 5352/3348?

Answer: GCF of Numerators as per given numbers 9877/592, 5352/3348 is

GCF of Numerators i.e. for 9877,5352 is 1

LCM of denominators i.e. for 592,3348 is 495504.

Thus, GCF of Fractions is 1/495504.Finally, GCF of Fractions for 9877/592, 5352/3348 is 1/495504.