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GCF of 335/910, 6052/824

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 335/910, 6052/824 i.e 1/374920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/910, 6052/824.

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 335/910,6052/824?

Given fractions are 335/910,6052/824

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 335/910,6052/824, numerators are 335,6052

Denominators are 910,824

The GCF of 335,6052 is 1 .

LCM of 910,824 is 374920.

The greatest common factor of 335/910,6052/824 = [GCF of 335,6052]/[LCM of 910,824]= 1/374920

Therefore, the GCF of 335/910,6052/824 is 1/374920.

Greatest Common Factor of 335,6052

To find the highest common factor of 335,6052, we have to find the factors of both numbers and list the highest common factor.

The factors of 335 are 1, 5, 67, 335

The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052

The HCF of 335,6052 is 1.

Lets's calculate GCF of 335,6052

Greatest Common Factor (GCF) of 335,6052 By Common Division

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

Greatest Common Factor of 335,6052 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,6052 By Matching Biggest Common Factor Method

Now, list down the factors of 335

:

1,5,67,335

Now, list down the factors of 6052

:

1,2,4,17,34,68,89,178,356,1513,3026,6052

Greatest Common Factor

We found the factors 335,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 335,6052 is 1.

Lets's calculate LCM of 910,824

Lowest Common Multiple of 910,824 using Common Division

2 910, 824
455, 412

∴ So the LCM of the given numbers is 2 x 455 x 412 = 374920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374920

Therefore, the GCF of Fractions 335/910,6052/824 is 1/374920

Least Common Multiple of 910,824 with GCF Formula

Least Common Multiple of 910,824 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 910,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,824) = 2

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

GCF(910,824) x common factors =2 x 1 = 2

LCM(910,824) = ( 910 × 824 ) / 2

LCM(910,824) = 749840 / 2

LCM(910,824) = 374920


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FAQs on GCF of Fractions of 335/910, 6052/824

1. What is the HCF of 335,6052?

The HCF of 335,6052 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 335/910, 6052/824?

Answer: GCF of Numerators as per given numbers 335/910, 6052/824 is

GCF of Numerators i.e. for 335,6052 is 1

LCM of denominators i.e. for 910,824 is 374920.

Thus, GCF of Fractions is 1/374920.Finally, GCF of Fractions for 335/910, 6052/824 is 1/374920.