How to Find GCF of 4421/666, 7505/7862?

GCF of 4421/666, 7505/7862

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 4421/666, 7505/7862 i.e 1/2618046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4421/666, 7505/7862.

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 4421/666,7505/7862?

Given fractions are 4421/666,7505/7862

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 4421/666,7505/7862, numerators are 4421,7505

Denominators are 666,7862

The GCF of 4421,7505 is 1 .

LCM of 666,7862 is 2618046.

The greatest common factor of 4421/666,7505/7862 = [GCF of 4421,7505]/[LCM of 666,7862]= 1/2618046

Therefore, the GCF of 4421/666,7505/7862 is 1/2618046.

Greatest Common Factor of 4421,7505

To find the highest common factor of 4421,7505, we have to find the factors of both numbers and list the highest common factor.

The factors of 4421 are 1, 4421

The factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505

The HCF of 4421,7505 is 1.

Lets's calculate GCF of 4421,7505

Greatest Common Factor (GCF) of 4421,7505 By Common Division

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

Greatest Common Factor of 4421,7505 By Matching Biggest Common Factor Method

Now, list down the factors of 4421

1,4421

Now, list down the factors of 7505

1,5,19,79,95,395,1501,7505

Greatest Common Factor

We found the factors 4421,7505 . The biggest common factor number is the GCF number.
So the greatest common factor 4421,7505 is 1.

Lets's calculate LCM of 666,7862

Lowest Common Multiple of 666,7862 using Common Division

2	666, 7862
	333, 3931

∴ So the LCM of the given numbers is 2 x 333 x 3931 = 2618046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2618046

Therefore, the GCF of Fractions 4421/666,7505/7862 is 1/2618046

Least Common Multiple of 666,7862 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 666,7862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,7862) = 2

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

GCF(666,7862) x common factors =2 x 1 = 2

LCM(666,7862) = ( 666 × 7862 ) / 2

LCM(666,7862) = 5236092 / 2

LCM(666,7862) = 2618046

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FAQs on GCF of Fractions of 4421/666, 7505/7862

1. What is the HCF of 4421,7505?

The HCF of 4421,7505 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 4421/666, 7505/7862?

Answer: GCF of Numerators as per given numbers 4421/666, 7505/7862 is

GCF of Numerators i.e. for 4421,7505 is 1

LCM of denominators i.e. for 666,7862 is 2618046.

Thus, GCF of Fractions is 1/2618046.Finally, GCF of Fractions for 4421/666, 7505/7862 is 1/2618046.