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GCF of 392/51, 109/285

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 392/51, 109/285 i.e 1/4845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/51, 109/285.

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 392/51,109/285?

Given fractions are 392/51,109/285

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 392/51,109/285, numerators are 392,109

Denominators are 51,285

The GCF of 392,109 is 1 .

LCM of 51,285 is 4845.

The greatest common factor of 392/51,109/285 = [GCF of 392,109]/[LCM of 51,285]= 1/4845

Therefore, the GCF of 392/51,109/285 is 1/4845.

Greatest Common Factor of 392,109

To find the highest common factor of 392,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The factors of 109 are 1, 109

The HCF of 392,109 is 1.

Lets's calculate GCF of 392,109

Greatest Common Factor (GCF) of 392,109 By Common Division

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

Greatest Common Factor of 392,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,109 By Matching Biggest Common Factor Method

Now, list down the factors of 392

:

1,2,4,7,8,14,28,49,56,98,196,392

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 392,109 . The biggest common factor number is the GCF number.
So the greatest common factor 392,109 is 1.

Lets's calculate LCM of 51,285

Lowest Common Multiple of 51,285 using Common Division

3 51, 285
17, 95

∴ So the LCM of the given numbers is 3 x 17 x 95 = 4845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4845

Therefore, the GCF of Fractions 392/51,109/285 is 1/4845

Least Common Multiple of 51,285 with GCF Formula

Least Common Multiple of 51,285 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 51,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,285) = 3

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

GCF(51,285) x common factors =3 x 1 = 3

LCM(51,285) = ( 51 × 285 ) / 3

LCM(51,285) = 14535 / 3

LCM(51,285) = 4845


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FAQs on GCF of Fractions of 392/51, 109/285

1. What is the HCF of 392,109?

The HCF of 392,109 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 392/51, 109/285?

Answer: GCF of Numerators as per given numbers 392/51, 109/285 is

GCF of Numerators i.e. for 392,109 is 1

LCM of denominators i.e. for 51,285 is 4845.

Thus, GCF of Fractions is 1/4845.Finally, GCF of Fractions for 392/51, 109/285 is 1/4845.