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GCF of 301/48, 634/3840

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 301/48, 634/3840 i.e 1/3840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/48, 634/3840.

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 301/48,634/3840?

Given fractions are 301/48,634/3840

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 301/48,634/3840, numerators are 301,634

Denominators are 48,3840

The GCF of 301,634 is 1 .

LCM of 48,3840 is 3840.

The greatest common factor of 301/48,634/3840 = [GCF of 301,634]/[LCM of 48,3840]= 1/3840

Therefore, the GCF of 301/48,634/3840 is 1/3840.

Greatest Common Factor of 301,634

To find the highest common factor of 301,634, we have to find the factors of both numbers and list the highest common factor.

The factors of 301 are 1, 7, 43, 301

The factors of 634 are 1, 2, 317, 634

The HCF of 301,634 is 1.

Lets's calculate GCF of 301,634

Greatest Common Factor (GCF) of 301,634 By Common Division

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

Greatest Common Factor of 301,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,634 By Matching Biggest Common Factor Method

Now, list down the factors of 301

:

1,7,43,301

Now, list down the factors of 634

:

1,2,317,634

Greatest Common Factor

We found the factors 301,634 . The biggest common factor number is the GCF number.
So the greatest common factor 301,634 is 1.

Lets's calculate LCM of 48,3840

Lowest Common Multiple of 48,3840 using Common Division

2 48, 3840
2 24, 1920
2 12, 960
2 6, 480
3 3, 240
1, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 80 = 3840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3840

Therefore, the GCF of Fractions 301/48,634/3840 is 1/3840

Least Common Multiple of 48,3840 with GCF Formula

Least Common Multiple of 48,3840 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 48,3840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,3840) = 48

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

GCF(48,3840) x common factors =48 x 1 = 48

LCM(48,3840) = ( 48 × 3840 ) / 48

LCM(48,3840) = 184320 / 48

LCM(48,3840) = 3840


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FAQs on GCF of Fractions of 301/48, 634/3840

1. What is the HCF of 301,634?

The HCF of 301,634 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 301/48, 634/3840?

Answer: GCF of Numerators as per given numbers 301/48, 634/3840 is

GCF of Numerators i.e. for 301,634 is 1

LCM of denominators i.e. for 48,3840 is 3840.

Thus, GCF of Fractions is 1/3840.Finally, GCF of Fractions for 301/48, 634/3840 is 1/3840.