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GCF of 206/892, 2917/780

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 206/892, 2917/780 i.e 1/173940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/892, 2917/780.

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 206/892,2917/780?

Given fractions are 206/892,2917/780

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 206/892,2917/780, numerators are 206,2917

Denominators are 892,780

The GCF of 206,2917 is 1 .

LCM of 892,780 is 173940.

The greatest common factor of 206/892,2917/780 = [GCF of 206,2917]/[LCM of 892,780]= 1/173940

Therefore, the GCF of 206/892,2917/780 is 1/173940.

Greatest Common Factor of 206,2917

To find the highest common factor of 206,2917, we have to find the factors of both numbers and list the highest common factor.

The factors of 206 are 1, 2, 103, 206

The factors of 2917 are 1, 2917

The HCF of 206,2917 is 1.

Lets's calculate GCF of 206,2917

Greatest Common Factor (GCF) of 206,2917 By Common Division

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

Greatest Common Factor of 206,2917 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,2917 By Matching Biggest Common Factor Method

Now, list down the factors of 206

:

1,2,103,206

Now, list down the factors of 2917

:

1,2917

Greatest Common Factor

We found the factors 206,2917 . The biggest common factor number is the GCF number.
So the greatest common factor 206,2917 is 1.

Lets's calculate LCM of 892,780

Lowest Common Multiple of 892,780 using Common Division

2 892, 780
2 446, 390
223, 195

∴ So the LCM of the given numbers is 2 x 2 x 223 x 195 = 173940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173940

Therefore, the GCF of Fractions 206/892,2917/780 is 1/173940

Least Common Multiple of 892,780 with GCF Formula

Least Common Multiple of 892,780 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 892,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,780) = 4

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

GCF(892,780) x common factors =4 x 1 = 4

LCM(892,780) = ( 892 × 780 ) / 4

LCM(892,780) = 695760 / 4

LCM(892,780) = 173940


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FAQs on GCF of Fractions of 206/892, 2917/780

1. What is the HCF of 206,2917?

The HCF of 206,2917 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 206/892, 2917/780?

Answer: GCF of Numerators as per given numbers 206/892, 2917/780 is

GCF of Numerators i.e. for 206,2917 is 1

LCM of denominators i.e. for 892,780 is 173940.

Thus, GCF of Fractions is 1/173940.Finally, GCF of Fractions for 206/892, 2917/780 is 1/173940.