How to Find GCF of 969/77, 656/3453?

GCF of 969/77, 656/3453

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 969/77, 656/3453 i.e 1/265881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/77, 656/3453.

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 969/77,656/3453?

Given fractions are 969/77,656/3453

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 969/77,656/3453, numerators are 969,656

Denominators are 77,3453

The GCF of 969,656 is 1 .

LCM of 77,3453 is 265881.

The greatest common factor of 969/77,656/3453 = [GCF of 969,656]/[LCM of 77,3453]= 1/265881

Therefore, the GCF of 969/77,656/3453 is 1/265881.

Greatest Common Factor of 969,656

To find the highest common factor of 969,656, we have to find the factors of both numbers and list the highest common factor.

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The HCF of 969,656 is 1.

Lets's calculate GCF of 969,656

Greatest Common Factor (GCF) of 969,656 By Common Division

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

Greatest Common Factor of 969,656 By Matching Biggest Common Factor Method

Now, list down the factors of 969

1,3,17,19,51,57,323,969

Now, list down the factors of 656

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 969,656 . The biggest common factor number is the GCF number.
So the greatest common factor 969,656 is 1.

Lets's calculate LCM of 77,3453

Lowest Common Multiple of 77,3453 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265881

Therefore, the GCF of Fractions 969/77,656/3453 is 1/265881

Least Common Multiple of 77,3453 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 77,3453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,3453) = 1

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

GCF(77,3453) x common factors =1 x 1 = 1

LCM(77,3453) = ( 77 × 3453 ) / 1

LCM(77,3453) = 265881 / 1

LCM(77,3453) = 265881

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FAQs on GCF of Fractions of 969/77, 656/3453

1. What is the HCF of 969,656?

The HCF of 969,656 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 969/77, 656/3453?

Answer: GCF of Numerators as per given numbers 969/77, 656/3453 is

GCF of Numerators i.e. for 969,656 is 1

LCM of denominators i.e. for 77,3453 is 265881.

Thus, GCF of Fractions is 1/265881.Finally, GCF of Fractions for 969/77, 656/3453 is 1/265881.