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GCF of 9574/855, 3011/3948

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 9574/855, 3011/3948 i.e 1/1125180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9574/855, 3011/3948.

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 9574/855,3011/3948?

Given fractions are 9574/855,3011/3948

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 9574/855,3011/3948, numerators are 9574,3011

Denominators are 855,3948

The GCF of 9574,3011 is 1 .

LCM of 855,3948 is 1125180.

The greatest common factor of 9574/855,3011/3948 = [GCF of 9574,3011]/[LCM of 855,3948]= 1/1125180

Therefore, the GCF of 9574/855,3011/3948 is 1/1125180.

Greatest Common Factor of 9574,3011

To find the highest common factor of 9574,3011, we have to find the factors of both numbers and list the highest common factor.

The factors of 9574 are 1, 2, 4787, 9574

The factors of 3011 are 1, 3011

The HCF of 9574,3011 is 1.

Lets's calculate GCF of 9574,3011

Greatest Common Factor (GCF) of 9574,3011 By Common Division

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

Greatest Common Factor of 9574,3011 By Matching Biggest Common Factor Method

Greatest Common Factor of 9574,3011 By Matching Biggest Common Factor Method

Now, list down the factors of 9574

:

1,2,4787,9574

Now, list down the factors of 3011

:

1,3011

Greatest Common Factor

We found the factors 9574,3011 . The biggest common factor number is the GCF number.
So the greatest common factor 9574,3011 is 1.

Lets's calculate LCM of 855,3948

Lowest Common Multiple of 855,3948 using Common Division

3 855, 3948
285, 1316

∴ So the LCM of the given numbers is 3 x 285 x 1316 = 1125180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125180

Therefore, the GCF of Fractions 9574/855,3011/3948 is 1/1125180

Least Common Multiple of 855,3948 with GCF Formula

Least Common Multiple of 855,3948 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 855,3948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,3948) = 3

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

GCF(855,3948) x common factors =3 x 1 = 3

LCM(855,3948) = ( 855 × 3948 ) / 3

LCM(855,3948) = 3375540 / 3

LCM(855,3948) = 1125180


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9574/855, 3011/3948

1. What is the HCF of 9574,3011?

The HCF of 9574,3011 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 9574/855, 3011/3948?

Answer: GCF of Numerators as per given numbers 9574/855, 3011/3948 is

GCF of Numerators i.e. for 9574,3011 is 1

LCM of denominators i.e. for 855,3948 is 1125180.

Thus, GCF of Fractions is 1/1125180.Finally, GCF of Fractions for 9574/855, 3011/3948 is 1/1125180.