How to Find GCF of 7553/778, 5741/653?

GCF of 7553/778, 5741/653

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 7553/778, 5741/653 i.e 1/508034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7553/778, 5741/653.

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 7553/778,5741/653?

Given fractions are 7553/778,5741/653

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 7553/778,5741/653, numerators are 7553,5741

Denominators are 778,653

The GCF of 7553,5741 is 1 .

LCM of 778,653 is 508034.

The greatest common factor of 7553/778,5741/653 = [GCF of 7553,5741]/[LCM of 778,653]= 1/508034

Therefore, the GCF of 7553/778,5741/653 is 1/508034.

Greatest Common Factor of 7553,5741

To find the highest common factor of 7553,5741, we have to find the factors of both numbers and list the highest common factor.

The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553

The factors of 5741 are 1, 5741

The HCF of 7553,5741 is 1.

Lets's calculate GCF of 7553,5741

Greatest Common Factor (GCF) of 7553,5741 By Common Division

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

Greatest Common Factor of 7553,5741 By Matching Biggest Common Factor Method

Now, list down the factors of 7553

1,7,13,83,91,581,1079,7553

Now, list down the factors of 5741

1,5741

Greatest Common Factor

We found the factors 7553,5741 . The biggest common factor number is the GCF number.
So the greatest common factor 7553,5741 is 1.

Lets's calculate LCM of 778,653

Lowest Common Multiple of 778,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 508034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508034

Therefore, the GCF of Fractions 7553/778,5741/653 is 1/508034

Least Common Multiple of 778,653 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 778,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,653) = 1

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

GCF(778,653) x common factors =1 x 1 = 1

LCM(778,653) = ( 778 × 653 ) / 1

LCM(778,653) = 508034 / 1

LCM(778,653) = 508034

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FAQs on GCF of Fractions of 7553/778, 5741/653

1. What is the HCF of 7553,5741?

The HCF of 7553,5741 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 7553/778, 5741/653?

Answer: GCF of Numerators as per given numbers 7553/778, 5741/653 is

GCF of Numerators i.e. for 7553,5741 is 1

LCM of denominators i.e. for 778,653 is 508034.

Thus, GCF of Fractions is 1/508034.Finally, GCF of Fractions for 7553/778, 5741/653 is 1/508034.