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GCF of 948/31, 354/205

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 948/31, 354/205 i.e 6/6355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/31, 354/205.

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 948/31,354/205?

Given fractions are 948/31,354/205

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 948/31,354/205, numerators are 948,354

Denominators are 31,205

The GCF of 948,354 is 6 .

LCM of 31,205 is 6355.

The greatest common factor of 948/31,354/205 = [GCF of 948,354]/[LCM of 31,205]= 6/6355

Therefore, the GCF of 948/31,354/205 is 6/6355.

Greatest Common Factor of 948,354

To find the highest common factor of 948,354, 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 354 are 1, 2, 3, 6, 59, 118, 177, 354

The HCF of 948,354 is 6.

Lets's calculate GCF of 948,354

Greatest Common Factor (GCF) of 948,354 By Common Division

2 948, 354
3 474, 177
158, 59

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 948,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,354 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 354

:

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 948,354 . The biggest common factor number is the GCF number.
So the greatest common factor 948,354 is 6.

Lets's calculate LCM of 31,205

Lowest Common Multiple of 31,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6355

Therefore, the GCF of Fractions 948/31,354/205 is 6/6355

Least Common Multiple of 31,205 with GCF Formula

Least Common Multiple of 31,205 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 31,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,205) = 1

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

GCF(31,205) x common factors =1 x 1 = 1

LCM(31,205) = ( 31 × 205 ) / 1

LCM(31,205) = 6355 / 1

LCM(31,205) = 6355


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FAQs on GCF of Fractions of 948/31, 354/205

1. What is the HCF of 948,354?

The HCF of 948,354 is 6

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 948/31, 354/205?

Answer: GCF of Numerators as per given numbers 948/31, 354/205 is

GCF of Numerators i.e. for 948,354 is 6

LCM of denominators i.e. for 31,205 is 6355.

Thus, GCF of Fractions is 6/6355.Finally, GCF of Fractions for 948/31, 354/205 is 6/6355.