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GCF of 710/198, 547/689

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 710/198, 547/689 i.e 1/136422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/198, 547/689.

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 710/198,547/689?

Given fractions are 710/198,547/689

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 710/198,547/689, numerators are 710,547

Denominators are 198,689

The GCF of 710,547 is 1 .

LCM of 198,689 is 136422.

The greatest common factor of 710/198,547/689 = [GCF of 710,547]/[LCM of 198,689]= 1/136422

Therefore, the GCF of 710/198,547/689 is 1/136422.

Greatest Common Factor of 710,547

To find the highest common factor of 710,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710

The factors of 547 are 1, 547

The HCF of 710,547 is 1.

Lets's calculate GCF of 710,547

Greatest Common Factor (GCF) of 710,547 By Common Division

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

Greatest Common Factor of 710,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,547 By Matching Biggest Common Factor Method

Now, list down the factors of 710

:

1,2,5,10,71,142,355,710

Now, list down the factors of 547

:

1,547

Greatest Common Factor

We found the factors 710,547 . The biggest common factor number is the GCF number.
So the greatest common factor 710,547 is 1.

Lets's calculate LCM of 198,689

Lowest Common Multiple of 198,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136422

Therefore, the GCF of Fractions 710/198,547/689 is 1/136422

Least Common Multiple of 198,689 with GCF Formula

Least Common Multiple of 198,689 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 198,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,689) = 1

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

GCF(198,689) x common factors =1 x 1 = 1

LCM(198,689) = ( 198 × 689 ) / 1

LCM(198,689) = 136422 / 1

LCM(198,689) = 136422


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FAQs on GCF of Fractions of 710/198, 547/689

1. What is the HCF of 710,547?

The HCF of 710,547 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 710/198, 547/689?

Answer: GCF of Numerators as per given numbers 710/198, 547/689 is

GCF of Numerators i.e. for 710,547 is 1

LCM of denominators i.e. for 198,689 is 136422.

Thus, GCF of Fractions is 1/136422.Finally, GCF of Fractions for 710/198, 547/689 is 1/136422.