How to Find GCF of 628/383, 7407/3257?

GCF of 628/383, 7407/3257

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 628/383, 7407/3257 i.e 1/1247431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/383, 7407/3257.

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 628/383,7407/3257?

Given fractions are 628/383,7407/3257

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 628/383,7407/3257, numerators are 628,7407

Denominators are 383,3257

The GCF of 628,7407 is 1 .

LCM of 383,3257 is 1247431.

The greatest common factor of 628/383,7407/3257 = [GCF of 628,7407]/[LCM of 383,3257]= 1/1247431

Therefore, the GCF of 628/383,7407/3257 is 1/1247431.

Greatest Common Factor of 628,7407

To find the highest common factor of 628,7407, we have to find the factors of both numbers and list the highest common factor.

The factors of 628 are 1, 2, 4, 157, 314, 628

The factors of 7407 are 1, 3, 9, 823, 2469, 7407

The HCF of 628,7407 is 1.

Lets's calculate GCF of 628,7407

Greatest Common Factor (GCF) of 628,7407 By Common Division

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

Greatest Common Factor of 628,7407 By Matching Biggest Common Factor Method

Now, list down the factors of 628

1,2,4,157,314,628

Now, list down the factors of 7407

1,3,9,823,2469,7407

Greatest Common Factor

We found the factors 628,7407 . The biggest common factor number is the GCF number.
So the greatest common factor 628,7407 is 1.

Lets's calculate LCM of 383,3257

Lowest Common Multiple of 383,3257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1247431

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1247431

Therefore, the GCF of Fractions 628/383,7407/3257 is 1/1247431

Least Common Multiple of 383,3257 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 383,3257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,3257) = 1

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

GCF(383,3257) x common factors =1 x 1 = 1

LCM(383,3257) = ( 383 × 3257 ) / 1

LCM(383,3257) = 1247431 / 1

LCM(383,3257) = 1247431

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FAQs on GCF of Fractions of 628/383, 7407/3257

1. What is the HCF of 628,7407?

The HCF of 628,7407 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 628/383, 7407/3257?

Answer: GCF of Numerators as per given numbers 628/383, 7407/3257 is

GCF of Numerators i.e. for 628,7407 is 1

LCM of denominators i.e. for 383,3257 is 1247431.

Thus, GCF of Fractions is 1/1247431.Finally, GCF of Fractions for 628/383, 7407/3257 is 1/1247431.