How to Find GCF of 3628/692, 9319/6276?

GCF of 3628/692, 9319/6276

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 3628/692, 9319/6276 i.e 1/1085748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3628/692, 9319/6276.

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 3628/692,9319/6276?

Given fractions are 3628/692,9319/6276

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 3628/692,9319/6276, numerators are 3628,9319

Denominators are 692,6276

The GCF of 3628,9319 is 1 .

LCM of 692,6276 is 1085748.

The greatest common factor of 3628/692,9319/6276 = [GCF of 3628,9319]/[LCM of 692,6276]= 1/1085748

Therefore, the GCF of 3628/692,9319/6276 is 1/1085748.

Greatest Common Factor of 3628,9319

To find the highest common factor of 3628,9319, we have to find the factors of both numbers and list the highest common factor.

The factors of 3628 are 1, 2, 4, 907, 1814, 3628

The factors of 9319 are 1, 9319

The HCF of 3628,9319 is 1.

Lets's calculate GCF of 3628,9319

Greatest Common Factor (GCF) of 3628,9319 By Common Division

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

Greatest Common Factor of 3628,9319 By Matching Biggest Common Factor Method

Now, list down the factors of 3628

1,2,4,907,1814,3628

Now, list down the factors of 9319

1,9319

Greatest Common Factor

We found the factors 3628,9319 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,9319 is 1.

Lets's calculate LCM of 692,6276

Lowest Common Multiple of 692,6276 using Common Division

2	692, 6276
2	346, 3138
	173, 1569

∴ So the LCM of the given numbers is 2 x 2 x 173 x 1569 = 1085748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1085748

Therefore, the GCF of Fractions 3628/692,9319/6276 is 1/1085748

Least Common Multiple of 692,6276 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 692,6276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,6276) = 4

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

GCF(692,6276) x common factors =4 x 1 = 4

LCM(692,6276) = ( 692 × 6276 ) / 4

LCM(692,6276) = 4342992 / 4

LCM(692,6276) = 1085748

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3628/692, 9319/6276

1. What is the HCF of 3628,9319?

The HCF of 3628,9319 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 3628/692, 9319/6276?

Answer: GCF of Numerators as per given numbers 3628/692, 9319/6276 is

GCF of Numerators i.e. for 3628,9319 is 1

LCM of denominators i.e. for 692,6276 is 1085748.

Thus, GCF of Fractions is 1/1085748.Finally, GCF of Fractions for 3628/692, 9319/6276 is 1/1085748.