How to Find GCF of 6292/839, 6549/8939?

GCF of 6292/839, 6549/8939

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 6292/839, 6549/8939 i.e 1/7499821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6292/839, 6549/8939.

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 6292/839,6549/8939?

Given fractions are 6292/839,6549/8939

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 6292/839,6549/8939, numerators are 6292,6549

Denominators are 839,8939

The GCF of 6292,6549 is 1 .

LCM of 839,8939 is 7499821.

The greatest common factor of 6292/839,6549/8939 = [GCF of 6292,6549]/[LCM of 839,8939]= 1/7499821

Therefore, the GCF of 6292/839,6549/8939 is 1/7499821.

Greatest Common Factor of 6292,6549

To find the highest common factor of 6292,6549, we have to find the factors of both numbers and list the highest common factor.

The factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292

The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549

The HCF of 6292,6549 is 1.

Lets's calculate GCF of 6292,6549

Greatest Common Factor (GCF) of 6292,6549 By Common Division

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

Greatest Common Factor of 6292,6549 By Matching Biggest Common Factor Method

Now, list down the factors of 6292

1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292

Now, list down the factors of 6549

1,3,37,59,111,177,2183,6549

Greatest Common Factor

We found the factors 6292,6549 . The biggest common factor number is the GCF number.
So the greatest common factor 6292,6549 is 1.

Lets's calculate LCM of 839,8939

Lowest Common Multiple of 839,8939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7499821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7499821

Therefore, the GCF of Fractions 6292/839,6549/8939 is 1/7499821

Least Common Multiple of 839,8939 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 839,8939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,8939) = 1

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

GCF(839,8939) x common factors =1 x 1 = 1

LCM(839,8939) = ( 839 × 8939 ) / 1

LCM(839,8939) = 7499821 / 1

LCM(839,8939) = 7499821

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6292/839, 6549/8939

1. What is the HCF of 6292,6549?

The HCF of 6292,6549 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 6292/839, 6549/8939?

Answer: GCF of Numerators as per given numbers 6292/839, 6549/8939 is

GCF of Numerators i.e. for 6292,6549 is 1

LCM of denominators i.e. for 839,8939 is 7499821.

Thus, GCF of Fractions is 1/7499821.Finally, GCF of Fractions for 6292/839, 6549/8939 is 1/7499821.