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GCF of 859/838, 1651/839

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 859/838, 1651/839 i.e 1/703082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/838, 1651/839.

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 859/838,1651/839?

Given fractions are 859/838,1651/839

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 859/838,1651/839, numerators are 859,1651

Denominators are 838,839

The GCF of 859,1651 is 1 .

LCM of 838,839 is 703082.

The greatest common factor of 859/838,1651/839 = [GCF of 859,1651]/[LCM of 838,839]= 1/703082

Therefore, the GCF of 859/838,1651/839 is 1/703082.

Greatest Common Factor of 859,1651

To find the highest common factor of 859,1651, we have to find the factors of both numbers and list the highest common factor.

The factors of 859 are 1, 859

The factors of 1651 are 1, 13, 127, 1651

The HCF of 859,1651 is 1.

Lets's calculate GCF of 859,1651

Greatest Common Factor (GCF) of 859,1651 By Common Division

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

Greatest Common Factor of 859,1651 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,1651 By Matching Biggest Common Factor Method

Now, list down the factors of 859

:

1,859

Now, list down the factors of 1651

:

1,13,127,1651

Greatest Common Factor

We found the factors 859,1651 . The biggest common factor number is the GCF number.
So the greatest common factor 859,1651 is 1.

Lets's calculate LCM of 838,839

Lowest Common Multiple of 838,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 703082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703082

Therefore, the GCF of Fractions 859/838,1651/839 is 1/703082

Least Common Multiple of 838,839 with GCF Formula

Least Common Multiple of 838,839 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 838,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,839) = 1

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

GCF(838,839) x common factors =1 x 1 = 1

LCM(838,839) = ( 838 × 839 ) / 1

LCM(838,839) = 703082 / 1

LCM(838,839) = 703082


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FAQs on GCF of Fractions of 859/838, 1651/839

1. What is the HCF of 859,1651?

The HCF of 859,1651 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 859/838, 1651/839?

Answer: GCF of Numerators as per given numbers 859/838, 1651/839 is

GCF of Numerators i.e. for 859,1651 is 1

LCM of denominators i.e. for 838,839 is 703082.

Thus, GCF of Fractions is 1/703082.Finally, GCF of Fractions for 859/838, 1651/839 is 1/703082.