How to Find GCF of 553/696, 7755/661?

GCF of 553/696, 7755/661

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 553/696, 7755/661 i.e 1/460056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 553/696, 7755/661.

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 553/696,7755/661?

Given fractions are 553/696,7755/661

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 553/696,7755/661, numerators are 553,7755

Denominators are 696,661

The GCF of 553,7755 is 1 .

LCM of 696,661 is 460056.

The greatest common factor of 553/696,7755/661 = [GCF of 553,7755]/[LCM of 696,661]= 1/460056

Therefore, the GCF of 553/696,7755/661 is 1/460056.

Greatest Common Factor of 553,7755

To find the highest common factor of 553,7755, we have to find the factors of both numbers and list the highest common factor.

The factors of 553 are 1, 7, 79, 553

The factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755

The HCF of 553,7755 is 1.

Lets's calculate GCF of 553,7755

Greatest Common Factor (GCF) of 553,7755 By Common Division

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

Greatest Common Factor of 553,7755 By Matching Biggest Common Factor Method

Now, list down the factors of 553

1,7,79,553

Now, list down the factors of 7755

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Greatest Common Factor

We found the factors 553,7755 . The biggest common factor number is the GCF number.
So the greatest common factor 553,7755 is 1.

Lets's calculate LCM of 696,661

Lowest Common Multiple of 696,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 460056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460056

Therefore, the GCF of Fractions 553/696,7755/661 is 1/460056

Least Common Multiple of 696,661 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 696,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,661) = 1

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

GCF(696,661) x common factors =1 x 1 = 1

LCM(696,661) = ( 696 × 661 ) / 1

LCM(696,661) = 460056 / 1

LCM(696,661) = 460056

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FAQs on GCF of Fractions of 553/696, 7755/661

1. What is the HCF of 553,7755?

The HCF of 553,7755 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 553/696, 7755/661?

Answer: GCF of Numerators as per given numbers 553/696, 7755/661 is

GCF of Numerators i.e. for 553,7755 is 1

LCM of denominators i.e. for 696,661 is 460056.

Thus, GCF of Fractions is 1/460056.Finally, GCF of Fractions for 553/696, 7755/661 is 1/460056.