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GCF of 710/512, 340/245

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 710/512, 340/245 i.e 10/125440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/512, 340/245.

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 710/512,340/245?

Given fractions are 710/512,340/245

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 710/512,340/245, numerators are 710,340

Denominators are 512,245

The GCF of 710,340 is 10 .

LCM of 512,245 is 125440.

The greatest common factor of 710/512,340/245 = [GCF of 710,340]/[LCM of 512,245]= 10/125440

Therefore, the GCF of 710/512,340/245 is 10/125440.

Greatest Common Factor of 710,340

To find the highest common factor of 710,340, 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 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 710,340 is 10.

Lets's calculate GCF of 710,340

Greatest Common Factor (GCF) of 710,340 By Common Division

2 710, 340
5 355, 170
71, 34

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 710,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,340 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 340

:

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 710,340 . The biggest common factor number is the GCF number.
So the greatest common factor 710,340 is 10.

Lets's calculate LCM of 512,245

Lowest Common Multiple of 512,245 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 125440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/125440

Therefore, the GCF of Fractions 710/512,340/245 is 10/125440

Least Common Multiple of 512,245 with GCF Formula

Least Common Multiple of 512,245 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 512,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,245) = 1

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

GCF(512,245) x common factors =1 x 1 = 1

LCM(512,245) = ( 512 × 245 ) / 1

LCM(512,245) = 125440 / 1

LCM(512,245) = 125440


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FAQs on GCF of Fractions of 710/512, 340/245

1. What is the HCF of 710,340?

The HCF of 710,340 is 10

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 710/512, 340/245?

Answer: GCF of Numerators as per given numbers 710/512, 340/245 is

GCF of Numerators i.e. for 710,340 is 10

LCM of denominators i.e. for 512,245 is 125440.

Thus, GCF of Fractions is 10/125440.Finally, GCF of Fractions for 710/512, 340/245 is 10/125440.