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GCF of 9466/942, 1139/208

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 9466/942, 1139/208 i.e 1/97968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9466/942, 1139/208.

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 9466/942,1139/208?

Given fractions are 9466/942,1139/208

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 9466/942,1139/208, numerators are 9466,1139

Denominators are 942,208

The GCF of 9466,1139 is 1 .

LCM of 942,208 is 97968.

The greatest common factor of 9466/942,1139/208 = [GCF of 9466,1139]/[LCM of 942,208]= 1/97968

Therefore, the GCF of 9466/942,1139/208 is 1/97968.

Greatest Common Factor of 9466,1139

To find the highest common factor of 9466,1139, we have to find the factors of both numbers and list the highest common factor.

The factors of 9466 are 1, 2, 4733, 9466

The factors of 1139 are 1, 17, 67, 1139

The HCF of 9466,1139 is 1.

Lets's calculate GCF of 9466,1139

Greatest Common Factor (GCF) of 9466,1139 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9466,1139 By Matching Biggest Common Factor Method

Greatest Common Factor of 9466,1139 By Matching Biggest Common Factor Method

Now, list down the factors of 9466

:

1,2,4733,9466

Now, list down the factors of 1139

:

1,17,67,1139

Greatest Common Factor

We found the factors 9466,1139 . The biggest common factor number is the GCF number.
So the greatest common factor 9466,1139 is 1.

Lets's calculate LCM of 942,208

Lowest Common Multiple of 942,208 using Common Division

2 942, 208
471, 104

∴ So the LCM of the given numbers is 2 x 471 x 104 = 97968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97968

Therefore, the GCF of Fractions 9466/942,1139/208 is 1/97968

Least Common Multiple of 942,208 with GCF Formula

Least Common Multiple of 942,208 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 942,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,208) = 2

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

GCF(942,208) x common factors =2 x 1 = 2

LCM(942,208) = ( 942 × 208 ) / 2

LCM(942,208) = 195936 / 2

LCM(942,208) = 97968


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9466/942, 1139/208

1. What is the HCF of 9466,1139?

The HCF of 9466,1139 is 1

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 9466/942, 1139/208?

Answer: GCF of Numerators as per given numbers 9466/942, 1139/208 is

GCF of Numerators i.e. for 9466,1139 is 1

LCM of denominators i.e. for 942,208 is 97968.

Thus, GCF of Fractions is 1/97968.Finally, GCF of Fractions for 9466/942, 1139/208 is 1/97968.