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GCF of 705/88, 317/422

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 705/88, 317/422 i.e 1/18568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/88, 317/422.

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 705/88,317/422?

Given fractions are 705/88,317/422

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 705/88,317/422, numerators are 705,317

Denominators are 88,422

The GCF of 705,317 is 1 .

LCM of 88,422 is 18568.

The greatest common factor of 705/88,317/422 = [GCF of 705,317]/[LCM of 88,422]= 1/18568

Therefore, the GCF of 705/88,317/422 is 1/18568.

Greatest Common Factor of 705,317

To find the highest common factor of 705,317, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 317 are 1, 317

The HCF of 705,317 is 1.

Lets's calculate GCF of 705,317

Greatest Common Factor (GCF) of 705,317 By Common Division

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

Greatest Common Factor of 705,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,317 By Matching Biggest Common Factor Method

Now, list down the factors of 705

:

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

Now, list down the factors of 317

:

1,317

Greatest Common Factor

We found the factors 705,317 . The biggest common factor number is the GCF number.
So the greatest common factor 705,317 is 1.

Lets's calculate LCM of 88,422

Lowest Common Multiple of 88,422 using Common Division

2 88, 422
44, 211

∴ So the LCM of the given numbers is 2 x 44 x 211 = 18568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18568

Therefore, the GCF of Fractions 705/88,317/422 is 1/18568

Least Common Multiple of 88,422 with GCF Formula

Least Common Multiple of 88,422 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 88,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,422) = 2

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

GCF(88,422) x common factors =2 x 1 = 2

LCM(88,422) = ( 88 × 422 ) / 2

LCM(88,422) = 37136 / 2

LCM(88,422) = 18568


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FAQs on GCF of Fractions of 705/88, 317/422

1. What is the HCF of 705,317?

The HCF of 705,317 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 705/88, 317/422?

Answer: GCF of Numerators as per given numbers 705/88, 317/422 is

GCF of Numerators i.e. for 705,317 is 1

LCM of denominators i.e. for 88,422 is 18568.

Thus, GCF of Fractions is 1/18568.Finally, GCF of Fractions for 705/88, 317/422 is 1/18568.