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GCF of 710/523, 1505/697

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 710/523, 1505/697 i.e 5/364531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/523, 1505/697.

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 710/523,1505/697?

Given fractions are 710/523,1505/697

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 710/523,1505/697, numerators are 710,1505

Denominators are 523,697

The GCF of 710,1505 is 5 .

LCM of 523,697 is 364531.

The greatest common factor of 710/523,1505/697 = [GCF of 710,1505]/[LCM of 523,697]= 5/364531

Therefore, the GCF of 710/523,1505/697 is 5/364531.

Greatest Common Factor of 710,1505

To find the highest common factor of 710,1505, 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 1505 are 1, 5, 7, 35, 43, 215, 301, 1505

The HCF of 710,1505 is 5.

Lets's calculate GCF of 710,1505

Greatest Common Factor (GCF) of 710,1505 By Common Division

5 710, 1505
142, 301

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 710,1505 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,1505 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 1505

:

1,5,7,35,43,215,301,1505

Greatest Common Factor

We found the factors 710,1505 . The biggest common factor number is the GCF number.
So the greatest common factor 710,1505 is 5.

Lets's calculate LCM of 523,697

Lowest Common Multiple of 523,697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 364531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/364531

Therefore, the GCF of Fractions 710/523,1505/697 is 5/364531

Least Common Multiple of 523,697 with GCF Formula

Least Common Multiple of 523,697 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 523,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,697) = 1

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

GCF(523,697) x common factors =1 x 1 = 1

LCM(523,697) = ( 523 × 697 ) / 1

LCM(523,697) = 364531 / 1

LCM(523,697) = 364531


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FAQs on GCF of Fractions of 710/523, 1505/697

1. What is the HCF of 710,1505?

The HCF of 710,1505 is 5

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 710/523, 1505/697?

Answer: GCF of Numerators as per given numbers 710/523, 1505/697 is

GCF of Numerators i.e. for 710,1505 is 5

LCM of denominators i.e. for 523,697 is 364531.

Thus, GCF of Fractions is 5/364531.Finally, GCF of Fractions for 710/523, 1505/697 is 5/364531.