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GCF of 92/692, 2143/8826

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 92/692, 2143/8826 i.e 1/3053796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/692, 2143/8826.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 92/692,2143/8826?

Given fractions are 92/692,2143/8826

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 92/692,2143/8826, numerators are 92,2143

Denominators are 692,8826

The GCF of 92,2143 is 1 .

LCM of 692,8826 is 3053796.

The greatest common factor of 92/692,2143/8826 = [GCF of 92,2143]/[LCM of 692,8826]= 1/3053796

Therefore, the GCF of 92/692,2143/8826 is 1/3053796.

Greatest Common Factor of 92,2143

To find the highest common factor of 92,2143, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 2143 are 1, 2143

The HCF of 92,2143 is 1.

Lets's calculate GCF of 92,2143

Greatest Common Factor (GCF) of 92,2143 By Common Division

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

Greatest Common Factor of 92,2143 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,2143 By Matching Biggest Common Factor Method

Now, list down the factors of 92

:

1,2,4,23,46,92

Now, list down the factors of 2143

:

1,2143

Greatest Common Factor

We found the factors 92,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 92,2143 is 1.

Lets's calculate LCM of 692,8826

Lowest Common Multiple of 692,8826 using Common Division

2 692, 8826
346, 4413

∴ So the LCM of the given numbers is 2 x 346 x 4413 = 3053796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3053796

Therefore, the GCF of Fractions 92/692,2143/8826 is 1/3053796

Least Common Multiple of 692,8826 with GCF Formula

Least Common Multiple of 692,8826 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 692,8826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,8826) = 2

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

GCF(692,8826) x common factors =2 x 1 = 2

LCM(692,8826) = ( 692 × 8826 ) / 2

LCM(692,8826) = 6107592 / 2

LCM(692,8826) = 3053796


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FAQs on GCF of Fractions of 92/692, 2143/8826

1. What is the HCF of 92,2143?

The HCF of 92,2143 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 92/692, 2143/8826?

Answer: GCF of Numerators as per given numbers 92/692, 2143/8826 is

GCF of Numerators i.e. for 92,2143 is 1

LCM of denominators i.e. for 692,8826 is 3053796.

Thus, GCF of Fractions is 1/3053796.Finally, GCF of Fractions for 92/692, 2143/8826 is 1/3053796.