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GCF of 214/30, 958/648

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 214/30, 958/648 i.e 2/3240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 214/30, 958/648.

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 214/30,958/648?

Given fractions are 214/30,958/648

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 214/30,958/648, numerators are 214,958

Denominators are 30,648

The GCF of 214,958 is 2 .

LCM of 30,648 is 3240.

The greatest common factor of 214/30,958/648 = [GCF of 214,958]/[LCM of 30,648]= 2/3240

Therefore, the GCF of 214/30,958/648 is 2/3240.

Greatest Common Factor of 214,958

To find the highest common factor of 214,958, 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 958 are 1, 2, 479, 958

The HCF of 214,958 is 2.

Lets's calculate GCF of 214,958

Greatest Common Factor (GCF) of 214,958 By Common Division

2 214, 958
107, 479

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 214,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,958 By Matching Biggest Common Factor Method

Now, list down the factors of 214

:

1,2,107,214

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 214,958 . The biggest common factor number is the GCF number.
So the greatest common factor 214,958 is 2.

Lets's calculate LCM of 30,648

Lowest Common Multiple of 30,648 using Common Division

2 30, 648
3 15, 324
5, 108

∴ So the LCM of the given numbers is 2 x 3 x 5 x 108 = 3240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3240

Therefore, the GCF of Fractions 214/30,958/648 is 2/3240

Least Common Multiple of 30,648 with GCF Formula

Least Common Multiple of 30,648 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 30,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,648) = 6

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

GCF(30,648) x common factors =6 x 1 = 6

LCM(30,648) = ( 30 × 648 ) / 6

LCM(30,648) = 19440 / 6

LCM(30,648) = 3240


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FAQs on GCF of Fractions of 214/30, 958/648

1. What is the HCF of 214,958?

The HCF of 214,958 is 2

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 214/30, 958/648?

Answer: GCF of Numerators as per given numbers 214/30, 958/648 is

GCF of Numerators i.e. for 214,958 is 2

LCM of denominators i.e. for 30,648 is 3240.

Thus, GCF of Fractions is 2/3240.Finally, GCF of Fractions for 214/30, 958/648 is 2/3240.