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GCF of 40/705, 76/4915

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 40/705, 76/4915 i.e 4/693015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/705, 76/4915.

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 40/705,76/4915?

Given fractions are 40/705,76/4915

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 40/705,76/4915, numerators are 40,76

Denominators are 705,4915

The GCF of 40,76 is 4 .

LCM of 705,4915 is 693015.

The greatest common factor of 40/705,76/4915 = [GCF of 40,76]/[LCM of 705,4915]= 4/693015

Therefore, the GCF of 40/705,76/4915 is 4/693015.

Greatest Common Factor of 40,76

To find the highest common factor of 40,76, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 76 are 1, 2, 4, 19, 38, 76

The HCF of 40,76 is 4.

Lets's calculate GCF of 40,76

Greatest Common Factor (GCF) of 40,76 By Common Division

2 40, 76
2 20, 38
10, 19

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 40,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,76 By Matching Biggest Common Factor Method

Now, list down the factors of 40

:

1,2,4,5,8,10,20,40

Now, list down the factors of 76

:

1,2,4,19,38,76

Greatest Common Factor

We found the factors 40,76 . The biggest common factor number is the GCF number.
So the greatest common factor 40,76 is 4.

Lets's calculate LCM of 705,4915

Lowest Common Multiple of 705,4915 using Common Division

5 705, 4915
141, 983

∴ So the LCM of the given numbers is 5 x 141 x 983 = 693015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/693015

Therefore, the GCF of Fractions 40/705,76/4915 is 4/693015

Least Common Multiple of 705,4915 with GCF Formula

Least Common Multiple of 705,4915 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 705,4915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,4915) = 5

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

GCF(705,4915) x common factors =5 x 1 = 5

LCM(705,4915) = ( 705 × 4915 ) / 5

LCM(705,4915) = 3465075 / 5

LCM(705,4915) = 693015


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FAQs on GCF of Fractions of 40/705, 76/4915

1. What is the HCF of 40,76?

The HCF of 40,76 is 4

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 40/705, 76/4915?

Answer: GCF of Numerators as per given numbers 40/705, 76/4915 is

GCF of Numerators i.e. for 40,76 is 4

LCM of denominators i.e. for 705,4915 is 693015.

Thus, GCF of Fractions is 4/693015.Finally, GCF of Fractions for 40/705, 76/4915 is 4/693015.