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GCF of 1535/761, 3035/9470

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 1535/761, 3035/9470 i.e 5/7206670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1535/761, 3035/9470.

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 1535/761,3035/9470?

Given fractions are 1535/761,3035/9470

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 1535/761,3035/9470, numerators are 1535,3035

Denominators are 761,9470

The GCF of 1535,3035 is 5 .

LCM of 761,9470 is 7206670.

The greatest common factor of 1535/761,3035/9470 = [GCF of 1535,3035]/[LCM of 761,9470]= 5/7206670

Therefore, the GCF of 1535/761,3035/9470 is 5/7206670.

Greatest Common Factor of 1535,3035

To find the highest common factor of 1535,3035, we have to find the factors of both numbers and list the highest common factor.

The factors of 1535 are 1, 5, 307, 1535

The factors of 3035 are 1, 5, 607, 3035

The HCF of 1535,3035 is 5.

Lets's calculate GCF of 1535,3035

Greatest Common Factor (GCF) of 1535,3035 By Common Division

5 1535, 3035
307, 607

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

Greatest Common Factor of 1535,3035 By Matching Biggest Common Factor Method

Greatest Common Factor of 1535,3035 By Matching Biggest Common Factor Method

Now, list down the factors of 1535

:

1,5,307,1535

Now, list down the factors of 3035

:

1,5,607,3035

Greatest Common Factor

We found the factors 1535,3035 . The biggest common factor number is the GCF number.
So the greatest common factor 1535,3035 is 5.

Lets's calculate LCM of 761,9470

Lowest Common Multiple of 761,9470 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7206670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7206670

Therefore, the GCF of Fractions 1535/761,3035/9470 is 5/7206670

Least Common Multiple of 761,9470 with GCF Formula

Least Common Multiple of 761,9470 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 761,9470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,9470) = 1

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

GCF(761,9470) x common factors =1 x 1 = 1

LCM(761,9470) = ( 761 × 9470 ) / 1

LCM(761,9470) = 7206670 / 1

LCM(761,9470) = 7206670


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FAQs on GCF of Fractions of 1535/761, 3035/9470

1. What is the HCF of 1535,3035?

The HCF of 1535,3035 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 1535/761, 3035/9470?

Answer: GCF of Numerators as per given numbers 1535/761, 3035/9470 is

GCF of Numerators i.e. for 1535,3035 is 5

LCM of denominators i.e. for 761,9470 is 7206670.

Thus, GCF of Fractions is 5/7206670.Finally, GCF of Fractions for 1535/761, 3035/9470 is 5/7206670.