How to Find GCF of 6879/650, 7895/990?

GCF of 6879/650, 7895/990

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 6879/650, 7895/990 i.e 1/64350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6879/650, 7895/990.

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 6879/650,7895/990?

Given fractions are 6879/650,7895/990

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 6879/650,7895/990, numerators are 6879,7895

Denominators are 650,990

The GCF of 6879,7895 is 1 .

LCM of 650,990 is 64350.

The greatest common factor of 6879/650,7895/990 = [GCF of 6879,7895]/[LCM of 650,990]= 1/64350

Therefore, the GCF of 6879/650,7895/990 is 1/64350.

Greatest Common Factor of 6879,7895

To find the highest common factor of 6879,7895, we have to find the factors of both numbers and list the highest common factor.

The factors of 6879 are 1, 3, 2293, 6879

The factors of 7895 are 1, 5, 1579, 7895

The HCF of 6879,7895 is 1.

Lets's calculate GCF of 6879,7895

Greatest Common Factor (GCF) of 6879,7895 By Common Division

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

Greatest Common Factor of 6879,7895 By Matching Biggest Common Factor Method

Now, list down the factors of 6879

1,3,2293,6879

Now, list down the factors of 7895

1,5,1579,7895

Greatest Common Factor

We found the factors 6879,7895 . The biggest common factor number is the GCF number.
So the greatest common factor 6879,7895 is 1.

Lets's calculate LCM of 650,990

Lowest Common Multiple of 650,990 using Common Division

2	650, 990
5	325, 495
	65, 99

∴ So the LCM of the given numbers is 2 x 5 x 65 x 99 = 64350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64350

Therefore, the GCF of Fractions 6879/650,7895/990 is 1/64350

Least Common Multiple of 650,990 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 650,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,990) = 10

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

GCF(650,990) x common factors =10 x 1 = 10

LCM(650,990) = ( 650 × 990 ) / 10

LCM(650,990) = 643500 / 10

LCM(650,990) = 64350

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FAQs on GCF of Fractions of 6879/650, 7895/990

1. What is the HCF of 6879,7895?

The HCF of 6879,7895 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 6879/650, 7895/990?

Answer: GCF of Numerators as per given numbers 6879/650, 7895/990 is

GCF of Numerators i.e. for 6879,7895 is 1

LCM of denominators i.e. for 650,990 is 64350.

Thus, GCF of Fractions is 1/64350.Finally, GCF of Fractions for 6879/650, 7895/990 is 1/64350.