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GCF of 233/66, 971/786

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 233/66, 971/786 i.e 1/8646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/66, 971/786.

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 233/66,971/786?

Given fractions are 233/66,971/786

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 233/66,971/786, numerators are 233,971

Denominators are 66,786

The GCF of 233,971 is 1 .

LCM of 66,786 is 8646.

The greatest common factor of 233/66,971/786 = [GCF of 233,971]/[LCM of 66,786]= 1/8646

Therefore, the GCF of 233/66,971/786 is 1/8646.

Greatest Common Factor of 233,971

To find the highest common factor of 233,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 233 are 1, 233

The factors of 971 are 1, 971

The HCF of 233,971 is 1.

Lets's calculate GCF of 233,971

Greatest Common Factor (GCF) of 233,971 By Common Division

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

Greatest Common Factor of 233,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,971 By Matching Biggest Common Factor Method

Now, list down the factors of 233

:

1,233

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 233,971 . The biggest common factor number is the GCF number.
So the greatest common factor 233,971 is 1.

Lets's calculate LCM of 66,786

Lowest Common Multiple of 66,786 using Common Division

2 66, 786
3 33, 393
11, 131

∴ So the LCM of the given numbers is 2 x 3 x 11 x 131 = 8646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8646

Therefore, the GCF of Fractions 233/66,971/786 is 1/8646

Least Common Multiple of 66,786 with GCF Formula

Least Common Multiple of 66,786 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 66,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,786) = 6

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

GCF(66,786) x common factors =6 x 1 = 6

LCM(66,786) = ( 66 × 786 ) / 6

LCM(66,786) = 51876 / 6

LCM(66,786) = 8646


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FAQs on GCF of Fractions of 233/66, 971/786

1. What is the HCF of 233,971?

The HCF of 233,971 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 233/66, 971/786?

Answer: GCF of Numerators as per given numbers 233/66, 971/786 is

GCF of Numerators i.e. for 233,971 is 1

LCM of denominators i.e. for 66,786 is 8646.

Thus, GCF of Fractions is 1/8646.Finally, GCF of Fractions for 233/66, 971/786 is 1/8646.