How to Find GCF of 8254/692, 2890/676?

GCF of 8254/692, 2890/676

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 8254/692, 2890/676 i.e 2/116948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8254/692, 2890/676.

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 8254/692,2890/676?

Given fractions are 8254/692,2890/676

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 8254/692,2890/676, numerators are 8254,2890

Denominators are 692,676

The GCF of 8254,2890 is 2 .

LCM of 692,676 is 116948.

The greatest common factor of 8254/692,2890/676 = [GCF of 8254,2890]/[LCM of 692,676]= 2/116948

Therefore, the GCF of 8254/692,2890/676 is 2/116948.

Greatest Common Factor of 8254,2890

To find the highest common factor of 8254,2890, we have to find the factors of both numbers and list the highest common factor.

The factors of 8254 are 1, 2, 4127, 8254

The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890

The HCF of 8254,2890 is 2.

Lets's calculate GCF of 8254,2890

Greatest Common Factor (GCF) of 8254,2890 By Common Division

2	8254, 2890
	4127, 1445

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

Greatest Common Factor of 8254,2890 By Matching Biggest Common Factor Method

Now, list down the factors of 8254

1,2,4127,8254

Now, list down the factors of 2890

1,2,5,10,17,34,85,170,289,578,1445,2890

Greatest Common Factor

We found the factors 8254,2890 . The biggest common factor number is the GCF number.
So the greatest common factor 8254,2890 is 2.

Lets's calculate LCM of 692,676

Lowest Common Multiple of 692,676 using Common Division

2	692, 676
2	346, 338
	173, 169

∴ So the LCM of the given numbers is 2 x 2 x 173 x 169 = 116948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116948

Therefore, the GCF of Fractions 8254/692,2890/676 is 2/116948

Least Common Multiple of 692,676 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 692,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,676) = 4

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

GCF(692,676) x common factors =4 x 1 = 4

LCM(692,676) = ( 692 × 676 ) / 4

LCM(692,676) = 467792 / 4

LCM(692,676) = 116948

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FAQs on GCF of Fractions of 8254/692, 2890/676

1. What is the HCF of 8254,2890?

The HCF of 8254,2890 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 8254/692, 2890/676?

Answer: GCF of Numerators as per given numbers 8254/692, 2890/676 is

GCF of Numerators i.e. for 8254,2890 is 2

LCM of denominators i.e. for 692,676 is 116948.

Thus, GCF of Fractions is 2/116948.Finally, GCF of Fractions for 8254/692, 2890/676 is 2/116948.