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GCF of 863/676, 705/344

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 863/676, 705/344 i.e 1/58136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/676, 705/344.

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 863/676,705/344?

Given fractions are 863/676,705/344

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 863/676,705/344, numerators are 863,705

Denominators are 676,344

The GCF of 863,705 is 1 .

LCM of 676,344 is 58136.

The greatest common factor of 863/676,705/344 = [GCF of 863,705]/[LCM of 676,344]= 1/58136

Therefore, the GCF of 863/676,705/344 is 1/58136.

Greatest Common Factor of 863,705

To find the highest common factor of 863,705, we have to find the factors of both numbers and list the highest common factor.

The factors of 863 are 1, 863

The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705

The HCF of 863,705 is 1.

Lets's calculate GCF of 863,705

Greatest Common Factor (GCF) of 863,705 By Common Division

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

Greatest Common Factor of 863,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,705 By Matching Biggest Common Factor Method

Now, list down the factors of 863

:

1,863

Now, list down the factors of 705

:

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 863,705 . The biggest common factor number is the GCF number.
So the greatest common factor 863,705 is 1.

Lets's calculate LCM of 676,344

Lowest Common Multiple of 676,344 using Common Division

2 676, 344
2 338, 172
169, 86

∴ So the LCM of the given numbers is 2 x 2 x 169 x 86 = 58136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58136

Therefore, the GCF of Fractions 863/676,705/344 is 1/58136

Least Common Multiple of 676,344 with GCF Formula

Least Common Multiple of 676,344 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 676,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,344) = 4

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

GCF(676,344) x common factors =4 x 1 = 4

LCM(676,344) = ( 676 × 344 ) / 4

LCM(676,344) = 232544 / 4

LCM(676,344) = 58136


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FAQs on GCF of Fractions of 863/676, 705/344

1. What is the HCF of 863,705?

The HCF of 863,705 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 863/676, 705/344?

Answer: GCF of Numerators as per given numbers 863/676, 705/344 is

GCF of Numerators i.e. for 863,705 is 1

LCM of denominators i.e. for 676,344 is 58136.

Thus, GCF of Fractions is 1/58136.Finally, GCF of Fractions for 863/676, 705/344 is 1/58136.