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GCF of 507/15, 109/9285

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 507/15, 109/9285 i.e 1/9285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/15, 109/9285.

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 507/15,109/9285?

Given fractions are 507/15,109/9285

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 507/15,109/9285, numerators are 507,109

Denominators are 15,9285

The GCF of 507,109 is 1 .

LCM of 15,9285 is 9285.

The greatest common factor of 507/15,109/9285 = [GCF of 507,109]/[LCM of 15,9285]= 1/9285

Therefore, the GCF of 507/15,109/9285 is 1/9285.

Greatest Common Factor of 507,109

To find the highest common factor of 507,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 507 are 1, 3, 13, 39, 169, 507

The factors of 109 are 1, 109

The HCF of 507,109 is 1.

Lets's calculate GCF of 507,109

Greatest Common Factor (GCF) of 507,109 By Common Division

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

Greatest Common Factor of 507,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,109 By Matching Biggest Common Factor Method

Now, list down the factors of 507

:

1,3,13,39,169,507

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 507,109 . The biggest common factor number is the GCF number.
So the greatest common factor 507,109 is 1.

Lets's calculate LCM of 15,9285

Lowest Common Multiple of 15,9285 using Common Division

3 15, 9285
5 5, 3095
1, 619

∴ So the LCM of the given numbers is 3 x 5 x 1 x 619 = 9285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9285

Therefore, the GCF of Fractions 507/15,109/9285 is 1/9285

Least Common Multiple of 15,9285 with GCF Formula

Least Common Multiple of 15,9285 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 15,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9285) = 15

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

GCF(15,9285) x common factors =15 x 1 = 15

LCM(15,9285) = ( 15 × 9285 ) / 15

LCM(15,9285) = 139275 / 15

LCM(15,9285) = 9285


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FAQs on GCF of Fractions of 507/15, 109/9285

1. What is the HCF of 507,109?

The HCF of 507,109 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 507/15, 109/9285?

Answer: GCF of Numerators as per given numbers 507/15, 109/9285 is

GCF of Numerators i.e. for 507,109 is 1

LCM of denominators i.e. for 15,9285 is 9285.

Thus, GCF of Fractions is 1/9285.Finally, GCF of Fractions for 507/15, 109/9285 is 1/9285.