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GCF of 948/265, 839/820

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 948/265, 839/820 i.e 1/43460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/265, 839/820.

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 948/265,839/820?

Given fractions are 948/265,839/820

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 948/265,839/820, numerators are 948,839

Denominators are 265,820

The GCF of 948,839 is 1 .

LCM of 265,820 is 43460.

The greatest common factor of 948/265,839/820 = [GCF of 948,839]/[LCM of 265,820]= 1/43460

Therefore, the GCF of 948/265,839/820 is 1/43460.

Greatest Common Factor of 948,839

To find the highest common factor of 948,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

The factors of 839 are 1, 839

The HCF of 948,839 is 1.

Lets's calculate GCF of 948,839

Greatest Common Factor (GCF) of 948,839 By Common Division

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

Greatest Common Factor of 948,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,839 By Matching Biggest Common Factor Method

Now, list down the factors of 948

:

1,2,3,4,6,12,79,158,237,316,474,948

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 948,839 . The biggest common factor number is the GCF number.
So the greatest common factor 948,839 is 1.

Lets's calculate LCM of 265,820

Lowest Common Multiple of 265,820 using Common Division

5 265, 820
53, 164

∴ So the LCM of the given numbers is 5 x 53 x 164 = 43460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43460

Therefore, the GCF of Fractions 948/265,839/820 is 1/43460

Least Common Multiple of 265,820 with GCF Formula

Least Common Multiple of 265,820 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 265,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,820) = 5

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

GCF(265,820) x common factors =5 x 1 = 5

LCM(265,820) = ( 265 × 820 ) / 5

LCM(265,820) = 217300 / 5

LCM(265,820) = 43460


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FAQs on GCF of Fractions of 948/265, 839/820

1. What is the HCF of 948,839?

The HCF of 948,839 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 948/265, 839/820?

Answer: GCF of Numerators as per given numbers 948/265, 839/820 is

GCF of Numerators i.e. for 948,839 is 1

LCM of denominators i.e. for 265,820 is 43460.

Thus, GCF of Fractions is 1/43460.Finally, GCF of Fractions for 948/265, 839/820 is 1/43460.