How to Find GCF of 9054/968, 9765/682?

GCF of 9054/968, 9765/682

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 9054/968, 9765/682 i.e 9/30008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9054/968, 9765/682.

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 9054/968,9765/682?

Given fractions are 9054/968,9765/682

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 9054/968,9765/682, numerators are 9054,9765

Denominators are 968,682

The GCF of 9054,9765 is 9 .

LCM of 968,682 is 30008.

The greatest common factor of 9054/968,9765/682 = [GCF of 9054,9765]/[LCM of 968,682]= 9/30008

Therefore, the GCF of 9054/968,9765/682 is 9/30008.

Greatest Common Factor of 9054,9765

To find the highest common factor of 9054,9765, we have to find the factors of both numbers and list the highest common factor.

The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054

The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765

The HCF of 9054,9765 is 9.

Lets's calculate GCF of 9054,9765

Greatest Common Factor (GCF) of 9054,9765 By Common Division

3	9054, 9765
3	3018, 3255
	1006, 1085

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9054,9765 By Matching Biggest Common Factor Method

Now, list down the factors of 9054

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Now, list down the factors of 9765

1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765

Greatest Common Factor

We found the factors 9054,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 9054,9765 is 9.

Lets's calculate LCM of 968,682

Lowest Common Multiple of 968,682 using Common Division

2	968, 682
11	484, 341
	44, 31

∴ So the LCM of the given numbers is 2 x 11 x 44 x 31 = 30008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/30008

Therefore, the GCF of Fractions 9054/968,9765/682 is 9/30008

Least Common Multiple of 968,682 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 968,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,682) = 22

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

GCF(968,682) x common factors =22 x 1 = 22

LCM(968,682) = ( 968 × 682 ) / 22

LCM(968,682) = 660176 / 22

LCM(968,682) = 30008

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9054/968, 9765/682

1. What is the HCF of 9054,9765?

The HCF of 9054,9765 is 9

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 9054/968, 9765/682?

Answer: GCF of Numerators as per given numbers 9054/968, 9765/682 is

GCF of Numerators i.e. for 9054,9765 is 9

LCM of denominators i.e. for 968,682 is 30008.

Thus, GCF of Fractions is 9/30008.Finally, GCF of Fractions for 9054/968, 9765/682 is 9/30008.