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GCF of 335/460, 251/140

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 335/460, 251/140 i.e 1/3220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/460, 251/140.

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 335/460,251/140?

Given fractions are 335/460,251/140

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 335/460,251/140, numerators are 335,251

Denominators are 460,140

The GCF of 335,251 is 1 .

LCM of 460,140 is 3220.

The greatest common factor of 335/460,251/140 = [GCF of 335,251]/[LCM of 460,140]= 1/3220

Therefore, the GCF of 335/460,251/140 is 1/3220.

Greatest Common Factor of 335,251

To find the highest common factor of 335,251, 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 251 are 1, 251

The HCF of 335,251 is 1.

Lets's calculate GCF of 335,251

Greatest Common Factor (GCF) of 335,251 By Common Division

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

Greatest Common Factor of 335,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,251 By Matching Biggest Common Factor Method

Now, list down the factors of 335

:

1,5,67,335

Now, list down the factors of 251

:

1,251

Greatest Common Factor

We found the factors 335,251 . The biggest common factor number is the GCF number.
So the greatest common factor 335,251 is 1.

Lets's calculate LCM of 460,140

Lowest Common Multiple of 460,140 using Common Division

2 460, 140
2 230, 70
5 115, 35
23, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 7 = 3220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3220

Therefore, the GCF of Fractions 335/460,251/140 is 1/3220

Least Common Multiple of 460,140 with GCF Formula

Least Common Multiple of 460,140 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 460,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,140) = 20

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

GCF(460,140) x common factors =20 x 1 = 20

LCM(460,140) = ( 460 × 140 ) / 20

LCM(460,140) = 64400 / 20

LCM(460,140) = 3220


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FAQs on GCF of Fractions of 335/460, 251/140

1. What is the HCF of 335,251?

The HCF of 335,251 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 335/460, 251/140?

Answer: GCF of Numerators as per given numbers 335/460, 251/140 is

GCF of Numerators i.e. for 335,251 is 1

LCM of denominators i.e. for 460,140 is 3220.

Thus, GCF of Fractions is 1/3220.Finally, GCF of Fractions for 335/460, 251/140 is 1/3220.