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GCF of 346/841, 7994/158

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 346/841, 7994/158 i.e 2/132878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/841, 7994/158.

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 346/841,7994/158?

Given fractions are 346/841,7994/158

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 346/841,7994/158, numerators are 346,7994

Denominators are 841,158

The GCF of 346,7994 is 2 .

LCM of 841,158 is 132878.

The greatest common factor of 346/841,7994/158 = [GCF of 346,7994]/[LCM of 841,158]= 2/132878

Therefore, the GCF of 346/841,7994/158 is 2/132878.

Greatest Common Factor of 346,7994

To find the highest common factor of 346,7994, we have to find the factors of both numbers and list the highest common factor.

The factors of 346 are 1, 2, 173, 346

The factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994

The HCF of 346,7994 is 2.

Lets's calculate GCF of 346,7994

Greatest Common Factor (GCF) of 346,7994 By Common Division

2 346, 7994
173, 3997

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

Greatest Common Factor of 346,7994 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,7994 By Matching Biggest Common Factor Method

Now, list down the factors of 346

:

1,2,173,346

Now, list down the factors of 7994

:

1,2,7,14,571,1142,3997,7994

Greatest Common Factor

We found the factors 346,7994 . The biggest common factor number is the GCF number.
So the greatest common factor 346,7994 is 2.

Lets's calculate LCM of 841,158

Lowest Common Multiple of 841,158 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 132878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132878

Therefore, the GCF of Fractions 346/841,7994/158 is 2/132878

Least Common Multiple of 841,158 with GCF Formula

Least Common Multiple of 841,158 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 841,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,158) = 1

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

GCF(841,158) x common factors =1 x 1 = 1

LCM(841,158) = ( 841 × 158 ) / 1

LCM(841,158) = 132878 / 1

LCM(841,158) = 132878


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FAQs on GCF of Fractions of 346/841, 7994/158

1. What is the HCF of 346,7994?

The HCF of 346,7994 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 346/841, 7994/158?

Answer: GCF of Numerators as per given numbers 346/841, 7994/158 is

GCF of Numerators i.e. for 346,7994 is 2

LCM of denominators i.e. for 841,158 is 132878.

Thus, GCF of Fractions is 2/132878.Finally, GCF of Fractions for 346/841, 7994/158 is 2/132878.