How to Find GCF of 2264/700, 7160/9203?

GCF of 2264/700, 7160/9203

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 2264/700, 7160/9203 i.e 8/6442100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2264/700, 7160/9203.

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 2264/700,7160/9203?

Given fractions are 2264/700,7160/9203

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 2264/700,7160/9203, numerators are 2264,7160

Denominators are 700,9203

The GCF of 2264,7160 is 8 .

LCM of 700,9203 is 6442100.

The greatest common factor of 2264/700,7160/9203 = [GCF of 2264,7160]/[LCM of 700,9203]= 8/6442100

Therefore, the GCF of 2264/700,7160/9203 is 8/6442100.

Greatest Common Factor of 2264,7160

To find the highest common factor of 2264,7160, we have to find the factors of both numbers and list the highest common factor.

The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264

The factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

The HCF of 2264,7160 is 8.

Lets's calculate GCF of 2264,7160

Greatest Common Factor (GCF) of 2264,7160 By Common Division

2	2264, 7160
2	1132, 3580
2	566, 1790
	283, 895

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2264,7160 By Matching Biggest Common Factor Method

Now, list down the factors of 2264

1,2,4,8,283,566,1132,2264

Now, list down the factors of 7160

1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160

Greatest Common Factor

We found the factors 2264,7160 . The biggest common factor number is the GCF number.
So the greatest common factor 2264,7160 is 8.

Lets's calculate LCM of 700,9203

Lowest Common Multiple of 700,9203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6442100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6442100

Therefore, the GCF of Fractions 2264/700,7160/9203 is 8/6442100

Least Common Multiple of 700,9203 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 700,9203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,9203) = 1

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

GCF(700,9203) x common factors =1 x 1 = 1

LCM(700,9203) = ( 700 × 9203 ) / 1

LCM(700,9203) = 6442100 / 1

LCM(700,9203) = 6442100

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FAQs on GCF of Fractions of 2264/700, 7160/9203

1. What is the HCF of 2264,7160?

The HCF of 2264,7160 is 8

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 2264/700, 7160/9203?

Answer: GCF of Numerators as per given numbers 2264/700, 7160/9203 is

GCF of Numerators i.e. for 2264,7160 is 8

LCM of denominators i.e. for 700,9203 is 6442100.

Thus, GCF of Fractions is 8/6442100.Finally, GCF of Fractions for 2264/700, 7160/9203 is 8/6442100.