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GCF of 550/25, 740/814

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 550/25, 740/814 i.e 10/20350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/25, 740/814.

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 550/25,740/814?

Given fractions are 550/25,740/814

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 550/25,740/814, numerators are 550,740

Denominators are 25,814

The GCF of 550,740 is 10 .

LCM of 25,814 is 20350.

The greatest common factor of 550/25,740/814 = [GCF of 550,740]/[LCM of 25,814]= 10/20350

Therefore, the GCF of 550/25,740/814 is 10/20350.

Greatest Common Factor of 550,740

To find the highest common factor of 550,740, we have to find the factors of both numbers and list the highest common factor.

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

The HCF of 550,740 is 10.

Lets's calculate GCF of 550,740

Greatest Common Factor (GCF) of 550,740 By Common Division

2 550, 740
5 275, 370
55, 74

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 550,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,740 By Matching Biggest Common Factor Method

Now, list down the factors of 550

:

1,2,5,10,11,22,25,50,55,110,275,550

Now, list down the factors of 740

:

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 550,740 . The biggest common factor number is the GCF number.
So the greatest common factor 550,740 is 10.

Lets's calculate LCM of 25,814

Lowest Common Multiple of 25,814 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/20350

Therefore, the GCF of Fractions 550/25,740/814 is 10/20350

Least Common Multiple of 25,814 with GCF Formula

Least Common Multiple of 25,814 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 25,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,814) = 1

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

GCF(25,814) x common factors =1 x 1 = 1

LCM(25,814) = ( 25 × 814 ) / 1

LCM(25,814) = 20350 / 1

LCM(25,814) = 20350


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FAQs on GCF of Fractions of 550/25, 740/814

1. What is the HCF of 550,740?

The HCF of 550,740 is 10

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 550/25, 740/814?

Answer: GCF of Numerators as per given numbers 550/25, 740/814 is

GCF of Numerators i.e. for 550,740 is 10

LCM of denominators i.e. for 25,814 is 20350.

Thus, GCF of Fractions is 10/20350.Finally, GCF of Fractions for 550/25, 740/814 is 10/20350.