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GCF of 971/220, 209/104

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 971/220, 209/104 i.e 1/5720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/220, 209/104.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 971/220,209/104?

Given fractions are 971/220,209/104

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 971/220,209/104, numerators are 971,209

Denominators are 220,104

The GCF of 971,209 is 1 .

LCM of 220,104 is 5720.

The greatest common factor of 971/220,209/104 = [GCF of 971,209]/[LCM of 220,104]= 1/5720

Therefore, the GCF of 971/220,209/104 is 1/5720.

Greatest Common Factor of 971,209

To find the highest common factor of 971,209, we have to find the factors of both numbers and list the highest common factor.

The factors of 971 are 1, 971

The factors of 209 are 1, 11, 19, 209

The HCF of 971,209 is 1.

Lets's calculate GCF of 971,209

Greatest Common Factor (GCF) of 971,209 By Common Division

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

Greatest Common Factor of 971,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,209 By Matching Biggest Common Factor Method

Now, list down the factors of 971

:

1,971

Now, list down the factors of 209

:

1,11,19,209

Greatest Common Factor

We found the factors 971,209 . The biggest common factor number is the GCF number.
So the greatest common factor 971,209 is 1.

Lets's calculate LCM of 220,104

Lowest Common Multiple of 220,104 using Common Division

2 220, 104
2 110, 52
55, 26

∴ So the LCM of the given numbers is 2 x 2 x 55 x 26 = 5720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5720

Therefore, the GCF of Fractions 971/220,209/104 is 1/5720

Least Common Multiple of 220,104 with GCF Formula

Least Common Multiple of 220,104 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 220,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,104) = 4

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

GCF(220,104) x common factors =4 x 1 = 4

LCM(220,104) = ( 220 × 104 ) / 4

LCM(220,104) = 22880 / 4

LCM(220,104) = 5720


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FAQs on GCF of Fractions of 971/220, 209/104

1. What is the HCF of 971,209?

The HCF of 971,209 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 971/220, 209/104?

Answer: GCF of Numerators as per given numbers 971/220, 209/104 is

GCF of Numerators i.e. for 971,209 is 1

LCM of denominators i.e. for 220,104 is 5720.

Thus, GCF of Fractions is 1/5720.Finally, GCF of Fractions for 971/220, 209/104 is 1/5720.