How to Find GCF of 94/428, 9658/8945?

GCF of 94/428, 9658/8945

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 94/428, 9658/8945 i.e 2/3828460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/428, 9658/8945.

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 94/428,9658/8945?

Given fractions are 94/428,9658/8945

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 94/428,9658/8945, numerators are 94,9658

Denominators are 428,8945

The GCF of 94,9658 is 2 .

LCM of 428,8945 is 3828460.

The greatest common factor of 94/428,9658/8945 = [GCF of 94,9658]/[LCM of 428,8945]= 2/3828460

Therefore, the GCF of 94/428,9658/8945 is 2/3828460.

Greatest Common Factor of 94,9658

To find the highest common factor of 94,9658, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658

The HCF of 94,9658 is 2.

Lets's calculate GCF of 94,9658

Greatest Common Factor (GCF) of 94,9658 By Common Division

2	94, 9658
	47, 4829

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

Greatest Common Factor of 94,9658 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 9658

1,2,11,22,439,878,4829,9658

Greatest Common Factor

We found the factors 94,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 94,9658 is 2.

Lets's calculate LCM of 428,8945

Lowest Common Multiple of 428,8945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3828460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3828460

Therefore, the GCF of Fractions 94/428,9658/8945 is 2/3828460

Least Common Multiple of 428,8945 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 428,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8945) = 1

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

GCF(428,8945) x common factors =1 x 1 = 1

LCM(428,8945) = ( 428 × 8945 ) / 1

LCM(428,8945) = 3828460 / 1

LCM(428,8945) = 3828460

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FAQs on GCF of Fractions of 94/428, 9658/8945

1. What is the HCF of 94,9658?

The HCF of 94,9658 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 94/428, 9658/8945?

Answer: GCF of Numerators as per given numbers 94/428, 9658/8945 is

GCF of Numerators i.e. for 94,9658 is 2

LCM of denominators i.e. for 428,8945 is 3828460.

Thus, GCF of Fractions is 2/3828460.Finally, GCF of Fractions for 94/428, 9658/8945 is 2/3828460.