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GCF of 214/65, 151/598

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 214/65, 151/598 i.e 1/2990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 214/65, 151/598.

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 214/65,151/598?

Given fractions are 214/65,151/598

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 214/65,151/598, numerators are 214,151

Denominators are 65,598

The GCF of 214,151 is 1 .

LCM of 65,598 is 2990.

The greatest common factor of 214/65,151/598 = [GCF of 214,151]/[LCM of 65,598]= 1/2990

Therefore, the GCF of 214/65,151/598 is 1/2990.

Greatest Common Factor of 214,151

To find the highest common factor of 214,151, we have to find the factors of both numbers and list the highest common factor.

The factors of 214 are 1, 2, 107, 214

The factors of 151 are 1, 151

The HCF of 214,151 is 1.

Lets's calculate GCF of 214,151

Greatest Common Factor (GCF) of 214,151 By Common Division

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

Greatest Common Factor of 214,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,151 By Matching Biggest Common Factor Method

Now, list down the factors of 214

:

1,2,107,214

Now, list down the factors of 151

:

1,151

Greatest Common Factor

We found the factors 214,151 . The biggest common factor number is the GCF number.
So the greatest common factor 214,151 is 1.

Lets's calculate LCM of 65,598

Lowest Common Multiple of 65,598 using Common Division

13 65, 598
5, 46

∴ So the LCM of the given numbers is 13 x 5 x 46 = 2990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2990

Therefore, the GCF of Fractions 214/65,151/598 is 1/2990

Least Common Multiple of 65,598 with GCF Formula

Least Common Multiple of 65,598 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 65,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,598) = 13

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

GCF(65,598) x common factors =13 x 1 = 13

LCM(65,598) = ( 65 × 598 ) / 13

LCM(65,598) = 38870 / 13

LCM(65,598) = 2990


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FAQs on GCF of Fractions of 214/65, 151/598

1. What is the HCF of 214,151?

The HCF of 214,151 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 214/65, 151/598?

Answer: GCF of Numerators as per given numbers 214/65, 151/598 is

GCF of Numerators i.e. for 214,151 is 1

LCM of denominators i.e. for 65,598 is 2990.

Thus, GCF of Fractions is 1/2990.Finally, GCF of Fractions for 214/65, 151/598 is 1/2990.