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GCF of 770/514, 143/260

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 770/514, 143/260 i.e 11/66820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/514, 143/260.

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 770/514,143/260?

Given fractions are 770/514,143/260

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 770/514,143/260, numerators are 770,143

Denominators are 514,260

The GCF of 770,143 is 11 .

LCM of 514,260 is 66820.

The greatest common factor of 770/514,143/260 = [GCF of 770,143]/[LCM of 514,260]= 11/66820

Therefore, the GCF of 770/514,143/260 is 11/66820.

Greatest Common Factor of 770,143

To find the highest common factor of 770,143, we have to find the factors of both numbers and list the highest common factor.

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The factors of 143 are 1, 11, 13, 143

The HCF of 770,143 is 11.

Lets's calculate GCF of 770,143

Greatest Common Factor (GCF) of 770,143 By Common Division

11 770, 143
70, 13

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 770,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,143 By Matching Biggest Common Factor Method

Now, list down the factors of 770

:

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Now, list down the factors of 143

:

1,11,13,143

Greatest Common Factor

We found the factors 770,143 . The biggest common factor number is the GCF number.
So the greatest common factor 770,143 is 11.

Lets's calculate LCM of 514,260

Lowest Common Multiple of 514,260 using Common Division

2 514, 260
257, 130

∴ So the LCM of the given numbers is 2 x 257 x 130 = 66820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/66820

Therefore, the GCF of Fractions 770/514,143/260 is 11/66820

Least Common Multiple of 514,260 with GCF Formula

Least Common Multiple of 514,260 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 514,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,260) = 2

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

GCF(514,260) x common factors =2 x 1 = 2

LCM(514,260) = ( 514 × 260 ) / 2

LCM(514,260) = 133640 / 2

LCM(514,260) = 66820


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FAQs on GCF of Fractions of 770/514, 143/260

1. What is the HCF of 770,143?

The HCF of 770,143 is 11

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 770/514, 143/260?

Answer: GCF of Numerators as per given numbers 770/514, 143/260 is

GCF of Numerators i.e. for 770,143 is 11

LCM of denominators i.e. for 514,260 is 66820.

Thus, GCF of Fractions is 11/66820.Finally, GCF of Fractions for 770/514, 143/260 is 11/66820.