How to Find GCF of 7537/628, 5837/7177?

GCF of 7537/628, 5837/7177

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 7537/628, 5837/7177 i.e 1/4507156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7537/628, 5837/7177.

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 7537/628,5837/7177?

Given fractions are 7537/628,5837/7177

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 7537/628,5837/7177, numerators are 7537,5837

Denominators are 628,7177

The GCF of 7537,5837 is 1 .

LCM of 628,7177 is 4507156.

The greatest common factor of 7537/628,5837/7177 = [GCF of 7537,5837]/[LCM of 628,7177]= 1/4507156

Therefore, the GCF of 7537/628,5837/7177 is 1/4507156.

Greatest Common Factor of 7537,5837

To find the highest common factor of 7537,5837, we have to find the factors of both numbers and list the highest common factor.

The factors of 7537 are 1, 7537

The factors of 5837 are 1, 13, 449, 5837

The HCF of 7537,5837 is 1.

Lets's calculate GCF of 7537,5837

Greatest Common Factor (GCF) of 7537,5837 By Common Division

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

Greatest Common Factor of 7537,5837 By Matching Biggest Common Factor Method

Now, list down the factors of 7537

1,7537

Now, list down the factors of 5837

1,13,449,5837

Greatest Common Factor

We found the factors 7537,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 7537,5837 is 1.

Lets's calculate LCM of 628,7177

Lowest Common Multiple of 628,7177 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4507156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4507156

Therefore, the GCF of Fractions 7537/628,5837/7177 is 1/4507156

Least Common Multiple of 628,7177 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 628,7177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,7177) = 1

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

GCF(628,7177) x common factors =1 x 1 = 1

LCM(628,7177) = ( 628 × 7177 ) / 1

LCM(628,7177) = 4507156 / 1

LCM(628,7177) = 4507156

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FAQs on GCF of Fractions of 7537/628, 5837/7177

1. What is the HCF of 7537,5837?

The HCF of 7537,5837 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 7537/628, 5837/7177?

Answer: GCF of Numerators as per given numbers 7537/628, 5837/7177 is

GCF of Numerators i.e. for 7537,5837 is 1

LCM of denominators i.e. for 628,7177 is 4507156.

Thus, GCF of Fractions is 1/4507156.Finally, GCF of Fractions for 7537/628, 5837/7177 is 1/4507156.