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GCF of 8978/706, 8958/2393

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 8978/706, 8958/2393 i.e 2/1689458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8978/706, 8958/2393.

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 8978/706,8958/2393?

Given fractions are 8978/706,8958/2393

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 8978/706,8958/2393, numerators are 8978,8958

Denominators are 706,2393

The GCF of 8978,8958 is 2 .

LCM of 706,2393 is 1689458.

The greatest common factor of 8978/706,8958/2393 = [GCF of 8978,8958]/[LCM of 706,2393]= 2/1689458

Therefore, the GCF of 8978/706,8958/2393 is 2/1689458.

Greatest Common Factor of 8978,8958

To find the highest common factor of 8978,8958, we have to find the factors of both numbers and list the highest common factor.

The factors of 8978 are 1, 2, 67, 134, 4489, 8978

The factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958

The HCF of 8978,8958 is 2.

Lets's calculate GCF of 8978,8958

Greatest Common Factor (GCF) of 8978,8958 By Common Division

2 8978, 8958
4489, 4479

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

Greatest Common Factor of 8978,8958 By Matching Biggest Common Factor Method

Greatest Common Factor of 8978,8958 By Matching Biggest Common Factor Method

Now, list down the factors of 8978

:

1,2,67,134,4489,8978

Now, list down the factors of 8958

:

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors 8978,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 8978,8958 is 2.


Lets's calculate LCM of 706,2393

Lowest Common Multiple of 706,2393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1689458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1689458

Therefore, the GCF of Fractions 8978/706,8958/2393 is 2/1689458

Least Common Multiple of 706,2393 with GCF Formula

Least Common Multiple of 706,2393 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 706,2393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,2393) = 1

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

GCF(706,2393) x common factors =1 x 1 = 1

LCM(706,2393) = ( 706 × 2393 ) / 1

LCM(706,2393) = 1689458 / 1

LCM(706,2393) = 1689458


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8978/706, 8958/2393

1. What is the HCF of 8978,8958?

The HCF of 8978,8958 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 8978/706, 8958/2393?

Answer: GCF of Numerators as per given numbers 8978/706, 8958/2393 is

GCF of Numerators i.e. for 8978,8958 is 2

LCM of denominators i.e. for 706,2393 is 1689458.

Thus, GCF of Fractions is 2/1689458.Finally, GCF of Fractions for 8978/706, 8958/2393 is 2/1689458.