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GCF of 1280/946, 7271/8510

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 1280/946, 7271/8510 i.e 1/4025230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1280/946, 7271/8510.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1280/946,7271/8510?

Given fractions are 1280/946,7271/8510

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 1280/946,7271/8510, numerators are 1280,7271

Denominators are 946,8510

The GCF of 1280,7271 is 1 .

LCM of 946,8510 is 4025230.

The greatest common factor of 1280/946,7271/8510 = [GCF of 1280,7271]/[LCM of 946,8510]= 1/4025230

Therefore, the GCF of 1280/946,7271/8510 is 1/4025230.

Greatest Common Factor of 1280,7271

To find the highest common factor of 1280,7271, we have to find the factors of both numbers and list the highest common factor.

The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280

The factors of 7271 are 1, 11, 661, 7271

The HCF of 1280,7271 is 1.

Lets's calculate GCF of 1280,7271

Greatest Common Factor (GCF) of 1280,7271 By Common Division

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

Greatest Common Factor of 1280,7271 By Matching Biggest Common Factor Method

Greatest Common Factor of 1280,7271 By Matching Biggest Common Factor Method

Now, list down the factors of 1280

:

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280

Now, list down the factors of 7271

:

1,11,661,7271

Greatest Common Factor

We found the factors 1280,7271 . The biggest common factor number is the GCF number.
So the greatest common factor 1280,7271 is 1.


Lets's calculate LCM of 946,8510

Lowest Common Multiple of 946,8510 using Common Division

2 946, 8510
473, 4255

∴ So the LCM of the given numbers is 2 x 473 x 4255 = 4025230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4025230

Therefore, the GCF of Fractions 1280/946,7271/8510 is 1/4025230

Least Common Multiple of 946,8510 with GCF Formula

Least Common Multiple of 946,8510 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 946,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,8510) = 2

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

GCF(946,8510) x common factors =2 x 1 = 2

LCM(946,8510) = ( 946 × 8510 ) / 2

LCM(946,8510) = 8050460 / 2

LCM(946,8510) = 4025230


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1280/946, 7271/8510

1. What is the HCF of 1280,7271?

The HCF of 1280,7271 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 1280/946, 7271/8510?

Answer: GCF of Numerators as per given numbers 1280/946, 7271/8510 is

GCF of Numerators i.e. for 1280,7271 is 1

LCM of denominators i.e. for 946,8510 is 4025230.

Thus, GCF of Fractions is 1/4025230.Finally, GCF of Fractions for 1280/946, 7271/8510 is 1/4025230.