How to Find GCF of 7022/384, 6787/8468?

GCF of 7022/384, 6787/8468

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 7022/384, 6787/8468 i.e 1/812928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7022/384, 6787/8468.

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 7022/384,6787/8468?

Given fractions are 7022/384,6787/8468

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 7022/384,6787/8468, numerators are 7022,6787

Denominators are 384,8468

The GCF of 7022,6787 is 1 .

LCM of 384,8468 is 812928.

The greatest common factor of 7022/384,6787/8468 = [GCF of 7022,6787]/[LCM of 384,8468]= 1/812928

Therefore, the GCF of 7022/384,6787/8468 is 1/812928.

Greatest Common Factor of 7022,6787

To find the highest common factor of 7022,6787, we have to find the factors of both numbers and list the highest common factor.

The factors of 7022 are 1, 2, 3511, 7022

The factors of 6787 are 1, 11, 617, 6787

The HCF of 7022,6787 is 1.

Lets's calculate GCF of 7022,6787

Greatest Common Factor (GCF) of 7022,6787 By Common Division

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

Greatest Common Factor of 7022,6787 By Matching Biggest Common Factor Method

Now, list down the factors of 7022

1,2,3511,7022

Now, list down the factors of 6787

1,11,617,6787

Greatest Common Factor

We found the factors 7022,6787 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,6787 is 1.

Lets's calculate LCM of 384,8468

Lowest Common Multiple of 384,8468 using Common Division

2	384, 8468
2	192, 4234
	96, 2117

∴ So the LCM of the given numbers is 2 x 2 x 96 x 2117 = 812928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812928

Therefore, the GCF of Fractions 7022/384,6787/8468 is 1/812928

Least Common Multiple of 384,8468 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 384,8468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,8468) = 4

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

GCF(384,8468) x common factors =4 x 1 = 4

LCM(384,8468) = ( 384 × 8468 ) / 4

LCM(384,8468) = 3251712 / 4

LCM(384,8468) = 812928

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FAQs on GCF of Fractions of 7022/384, 6787/8468

1. What is the HCF of 7022,6787?

The HCF of 7022,6787 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 7022/384, 6787/8468?

Answer: GCF of Numerators as per given numbers 7022/384, 6787/8468 is

GCF of Numerators i.e. for 7022,6787 is 1

LCM of denominators i.e. for 384,8468 is 812928.

Thus, GCF of Fractions is 1/812928.Finally, GCF of Fractions for 7022/384, 6787/8468 is 1/812928.