How to Find GCF of 7768/440, 6602/7618?

GCF of 7768/440, 6602/7618

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 7768/440, 6602/7618 i.e 2/1675960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7768/440, 6602/7618.

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 7768/440,6602/7618?

Given fractions are 7768/440,6602/7618

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 7768/440,6602/7618, numerators are 7768,6602

Denominators are 440,7618

The GCF of 7768,6602 is 2 .

LCM of 440,7618 is 1675960.

The greatest common factor of 7768/440,6602/7618 = [GCF of 7768,6602]/[LCM of 440,7618]= 2/1675960

Therefore, the GCF of 7768/440,6602/7618 is 2/1675960.

Greatest Common Factor of 7768,6602

To find the highest common factor of 7768,6602, we have to find the factors of both numbers and list the highest common factor.

The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768

The factors of 6602 are 1, 2, 3301, 6602

The HCF of 7768,6602 is 2.

Lets's calculate GCF of 7768,6602

Greatest Common Factor (GCF) of 7768,6602 By Common Division

2	7768, 6602
	3884, 3301

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7768,6602 By Matching Biggest Common Factor Method

Now, list down the factors of 7768

1,2,4,8,971,1942,3884,7768

Now, list down the factors of 6602

1,2,3301,6602

Greatest Common Factor

We found the factors 7768,6602 . The biggest common factor number is the GCF number.
So the greatest common factor 7768,6602 is 2.

Lets's calculate LCM of 440,7618

Lowest Common Multiple of 440,7618 using Common Division

2	440, 7618
	220, 3809

∴ So the LCM of the given numbers is 2 x 220 x 3809 = 1675960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1675960

Therefore, the GCF of Fractions 7768/440,6602/7618 is 2/1675960

Least Common Multiple of 440,7618 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 440,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,7618) = 2

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

GCF(440,7618) x common factors =2 x 1 = 2

LCM(440,7618) = ( 440 × 7618 ) / 2

LCM(440,7618) = 3351920 / 2

LCM(440,7618) = 1675960

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FAQs on GCF of Fractions of 7768/440, 6602/7618

1. What is the HCF of 7768,6602?

The HCF of 7768,6602 is 2

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 7768/440, 6602/7618?

Answer: GCF of Numerators as per given numbers 7768/440, 6602/7618 is

GCF of Numerators i.e. for 7768,6602 is 2

LCM of denominators i.e. for 440,7618 is 1675960.

Thus, GCF of Fractions is 2/1675960.Finally, GCF of Fractions for 7768/440, 6602/7618 is 2/1675960.