How to Find GCF of 4225/514, 5527/7770?

GCF of 4225/514, 5527/7770

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 4225/514, 5527/7770 i.e 1/1996890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4225/514, 5527/7770.

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 4225/514,5527/7770?

Given fractions are 4225/514,5527/7770

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 4225/514,5527/7770, numerators are 4225,5527

Denominators are 514,7770

The GCF of 4225,5527 is 1 .

LCM of 514,7770 is 1996890.

The greatest common factor of 4225/514,5527/7770 = [GCF of 4225,5527]/[LCM of 514,7770]= 1/1996890

Therefore, the GCF of 4225/514,5527/7770 is 1/1996890.

Greatest Common Factor of 4225,5527

To find the highest common factor of 4225,5527, we have to find the factors of both numbers and list the highest common factor.

The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225

The factors of 5527 are 1, 5527

The HCF of 4225,5527 is 1.

Lets's calculate GCF of 4225,5527

Greatest Common Factor (GCF) of 4225,5527 By Common Division

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

Greatest Common Factor of 4225,5527 By Matching Biggest Common Factor Method

Now, list down the factors of 4225

1,5,13,25,65,169,325,845,4225

Now, list down the factors of 5527

1,5527

Greatest Common Factor

We found the factors 4225,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 4225,5527 is 1.

Lets's calculate LCM of 514,7770

Lowest Common Multiple of 514,7770 using Common Division

2	514, 7770
	257, 3885

∴ So the LCM of the given numbers is 2 x 257 x 3885 = 1996890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1996890

Therefore, the GCF of Fractions 4225/514,5527/7770 is 1/1996890

Least Common Multiple of 514,7770 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 514,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,7770) = 2

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

GCF(514,7770) x common factors =2 x 1 = 2

LCM(514,7770) = ( 514 × 7770 ) / 2

LCM(514,7770) = 3993780 / 2

LCM(514,7770) = 1996890

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FAQs on GCF of Fractions of 4225/514, 5527/7770

1. What is the HCF of 4225,5527?

The HCF of 4225,5527 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 4225/514, 5527/7770?

Answer: GCF of Numerators as per given numbers 4225/514, 5527/7770 is

GCF of Numerators i.e. for 4225,5527 is 1

LCM of denominators i.e. for 514,7770 is 1996890.

Thus, GCF of Fractions is 1/1996890.Finally, GCF of Fractions for 4225/514, 5527/7770 is 1/1996890.