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GCF of 758/914, 700/440

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 758/914, 700/440 i.e 2/201080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/914, 700/440.

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 758/914,700/440?

Given fractions are 758/914,700/440

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 758/914,700/440, numerators are 758,700

Denominators are 914,440

The GCF of 758,700 is 2 .

LCM of 914,440 is 201080.

The greatest common factor of 758/914,700/440 = [GCF of 758,700]/[LCM of 914,440]= 2/201080

Therefore, the GCF of 758/914,700/440 is 2/201080.

Greatest Common Factor of 758,700

To find the highest common factor of 758,700, we have to find the factors of both numbers and list the highest common factor.

The factors of 758 are 1, 2, 379, 758

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The HCF of 758,700 is 2.

Lets's calculate GCF of 758,700

Greatest Common Factor (GCF) of 758,700 By Common Division

2 758, 700
379, 350

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

Greatest Common Factor of 758,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,700 By Matching Biggest Common Factor Method

Now, list down the factors of 758

:

1,2,379,758

Now, list down the factors of 700

:

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 758,700 . The biggest common factor number is the GCF number.
So the greatest common factor 758,700 is 2.

Lets's calculate LCM of 914,440

Lowest Common Multiple of 914,440 using Common Division

2 914, 440
457, 220

∴ So the LCM of the given numbers is 2 x 457 x 220 = 201080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201080

Therefore, the GCF of Fractions 758/914,700/440 is 2/201080

Least Common Multiple of 914,440 with GCF Formula

Least Common Multiple of 914,440 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 914,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,440) = 2

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

GCF(914,440) x common factors =2 x 1 = 2

LCM(914,440) = ( 914 × 440 ) / 2

LCM(914,440) = 402160 / 2

LCM(914,440) = 201080


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FAQs on GCF of Fractions of 758/914, 700/440

1. What is the HCF of 758,700?

The HCF of 758,700 is 2

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 758/914, 700/440?

Answer: GCF of Numerators as per given numbers 758/914, 700/440 is

GCF of Numerators i.e. for 758,700 is 2

LCM of denominators i.e. for 914,440 is 201080.

Thus, GCF of Fractions is 2/201080.Finally, GCF of Fractions for 758/914, 700/440 is 2/201080.