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GCF of 694/140, 8956/4390

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 694/140, 8956/4390 i.e 2/61460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/140, 8956/4390.

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 694/140,8956/4390?

Given fractions are 694/140,8956/4390

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 694/140,8956/4390, numerators are 694,8956

Denominators are 140,4390

The GCF of 694,8956 is 2 .

LCM of 140,4390 is 61460.

The greatest common factor of 694/140,8956/4390 = [GCF of 694,8956]/[LCM of 140,4390]= 2/61460

Therefore, the GCF of 694/140,8956/4390 is 2/61460.

Greatest Common Factor of 694,8956

To find the highest common factor of 694,8956, we have to find the factors of both numbers and list the highest common factor.

The factors of 694 are 1, 2, 347, 694

The factors of 8956 are 1, 2, 4, 2239, 4478, 8956

The HCF of 694,8956 is 2.

Lets's calculate GCF of 694,8956

Greatest Common Factor (GCF) of 694,8956 By Common Division

2 694, 8956
347, 4478

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

Greatest Common Factor of 694,8956 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,8956 By Matching Biggest Common Factor Method

Now, list down the factors of 694

:

1,2,347,694

Now, list down the factors of 8956

:

1,2,4,2239,4478,8956

Greatest Common Factor

We found the factors 694,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 694,8956 is 2.

Lets's calculate LCM of 140,4390

Lowest Common Multiple of 140,4390 using Common Division

2 140, 4390
5 70, 2195
14, 439

∴ So the LCM of the given numbers is 2 x 5 x 14 x 439 = 61460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61460

Therefore, the GCF of Fractions 694/140,8956/4390 is 2/61460

Least Common Multiple of 140,4390 with GCF Formula

Least Common Multiple of 140,4390 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 140,4390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,4390) = 10

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

GCF(140,4390) x common factors =10 x 1 = 10

LCM(140,4390) = ( 140 × 4390 ) / 10

LCM(140,4390) = 614600 / 10

LCM(140,4390) = 61460


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FAQs on GCF of Fractions of 694/140, 8956/4390

1. What is the HCF of 694,8956?

The HCF of 694,8956 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 694/140, 8956/4390?

Answer: GCF of Numerators as per given numbers 694/140, 8956/4390 is

GCF of Numerators i.e. for 694,8956 is 2

LCM of denominators i.e. for 140,4390 is 61460.

Thus, GCF of Fractions is 2/61460.Finally, GCF of Fractions for 694/140, 8956/4390 is 2/61460.