How to Find GCF of 6379/971, 5196/9050?

GCF of 6379/971, 5196/9050

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 6379/971, 5196/9050 i.e 1/8787550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6379/971, 5196/9050.

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 6379/971,5196/9050?

Given fractions are 6379/971,5196/9050

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 6379/971,5196/9050, numerators are 6379,5196

Denominators are 971,9050

The GCF of 6379,5196 is 1 .

LCM of 971,9050 is 8787550.

The greatest common factor of 6379/971,5196/9050 = [GCF of 6379,5196]/[LCM of 971,9050]= 1/8787550

Therefore, the GCF of 6379/971,5196/9050 is 1/8787550.

Greatest Common Factor of 6379,5196

To find the highest common factor of 6379,5196, we have to find the factors of both numbers and list the highest common factor.

The factors of 6379 are 1, 6379

The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196

The HCF of 6379,5196 is 1.

Lets's calculate GCF of 6379,5196

Greatest Common Factor (GCF) of 6379,5196 By Common Division

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

Greatest Common Factor of 6379,5196 By Matching Biggest Common Factor Method

Now, list down the factors of 6379

1,6379

Now, list down the factors of 5196

1,2,3,4,6,12,433,866,1299,1732,2598,5196

Greatest Common Factor

We found the factors 6379,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 6379,5196 is 1.

Lets's calculate LCM of 971,9050

Lowest Common Multiple of 971,9050 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8787550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8787550

Therefore, the GCF of Fractions 6379/971,5196/9050 is 1/8787550

Least Common Multiple of 971,9050 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 971,9050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,9050) = 1

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

GCF(971,9050) x common factors =1 x 1 = 1

LCM(971,9050) = ( 971 × 9050 ) / 1

LCM(971,9050) = 8787550 / 1

LCM(971,9050) = 8787550

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6379/971, 5196/9050

1. What is the HCF of 6379,5196?

The HCF of 6379,5196 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 6379/971, 5196/9050?

Answer: GCF of Numerators as per given numbers 6379/971, 5196/9050 is

GCF of Numerators i.e. for 6379,5196 is 1

LCM of denominators i.e. for 971,9050 is 8787550.

Thus, GCF of Fractions is 1/8787550.Finally, GCF of Fractions for 6379/971, 5196/9050 is 1/8787550.