How to Find GCF of 7966/234, 7460/857?

GCF of 7966/234, 7460/857

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 7966/234, 7460/857 i.e 2/200538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7966/234, 7460/857.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7966/234,7460/857?

Given fractions are 7966/234,7460/857

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 7966/234,7460/857, numerators are 7966,7460

Denominators are 234,857

The GCF of 7966,7460 is 2 .

LCM of 234,857 is 200538.

The greatest common factor of 7966/234,7460/857 = [GCF of 7966,7460]/[LCM of 234,857]= 2/200538

Therefore, the GCF of 7966/234,7460/857 is 2/200538.

Greatest Common Factor of 7966,7460

To find the highest common factor of 7966,7460, we have to find the factors of both numbers and list the highest common factor.

The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966

The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460

The HCF of 7966,7460 is 2.

Lets's calculate GCF of 7966,7460

Greatest Common Factor (GCF) of 7966,7460 By Common Division

2	7966, 7460
	3983, 3730

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

Greatest Common Factor of 7966,7460 By Matching Biggest Common Factor Method

Now, list down the factors of 7966

1,2,7,14,569,1138,3983,7966

Now, list down the factors of 7460

1,2,4,5,10,20,373,746,1492,1865,3730,7460

Greatest Common Factor

We found the factors 7966,7460 . The biggest common factor number is the GCF number.
So the greatest common factor 7966,7460 is 2.

Lets's calculate LCM of 234,857

Lowest Common Multiple of 234,857 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 200538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/200538

Therefore, the GCF of Fractions 7966/234,7460/857 is 2/200538

Least Common Multiple of 234,857 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 234,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,857) = 1

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

GCF(234,857) x common factors =1 x 1 = 1

LCM(234,857) = ( 234 × 857 ) / 1

LCM(234,857) = 200538 / 1

LCM(234,857) = 200538

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FAQs on GCF of Fractions of 7966/234, 7460/857

1. What is the HCF of 7966,7460?

The HCF of 7966,7460 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 7966/234, 7460/857?

Answer: GCF of Numerators as per given numbers 7966/234, 7460/857 is

GCF of Numerators i.e. for 7966,7460 is 2

LCM of denominators i.e. for 234,857 is 200538.

Thus, GCF of Fractions is 2/200538.Finally, GCF of Fractions for 7966/234, 7460/857 is 2/200538.