How to Find GCF of 9435/276, 1069/6948?

GCF of 9435/276, 1069/6948

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 9435/276, 1069/6948 i.e 1/159804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9435/276, 1069/6948.

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 9435/276,1069/6948?

Given fractions are 9435/276,1069/6948

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 9435/276,1069/6948, numerators are 9435,1069

Denominators are 276,6948

The GCF of 9435,1069 is 1 .

LCM of 276,6948 is 159804.

The greatest common factor of 9435/276,1069/6948 = [GCF of 9435,1069]/[LCM of 276,6948]= 1/159804

Therefore, the GCF of 9435/276,1069/6948 is 1/159804.

Greatest Common Factor of 9435,1069

To find the highest common factor of 9435,1069, we have to find the factors of both numbers and list the highest common factor.

The factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435

The factors of 1069 are 1, 1069

The HCF of 9435,1069 is 1.

Lets's calculate GCF of 9435,1069

Greatest Common Factor (GCF) of 9435,1069 By Common Division

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

Greatest Common Factor of 9435,1069 By Matching Biggest Common Factor Method

Now, list down the factors of 9435

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Now, list down the factors of 1069

1,1069

Greatest Common Factor

We found the factors 9435,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 9435,1069 is 1.

Lets's calculate LCM of 276,6948

Lowest Common Multiple of 276,6948 using Common Division

2	276, 6948
2	138, 3474
3	69, 1737
	23, 579

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 579 = 159804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159804

Therefore, the GCF of Fractions 9435/276,1069/6948 is 1/159804

Least Common Multiple of 276,6948 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 276,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,6948) = 12

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

GCF(276,6948) x common factors =12 x 1 = 12

LCM(276,6948) = ( 276 × 6948 ) / 12

LCM(276,6948) = 1917648 / 12

LCM(276,6948) = 159804

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FAQs on GCF of Fractions of 9435/276, 1069/6948

1. What is the HCF of 9435,1069?

The HCF of 9435,1069 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 9435/276, 1069/6948?

Answer: GCF of Numerators as per given numbers 9435/276, 1069/6948 is

GCF of Numerators i.e. for 9435,1069 is 1

LCM of denominators i.e. for 276,6948 is 159804.

Thus, GCF of Fractions is 1/159804.Finally, GCF of Fractions for 9435/276, 1069/6948 is 1/159804.