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GCF of 40/930, 7067/8604

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 40/930, 7067/8604 i.e 1/1333620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/930, 7067/8604.

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 40/930,7067/8604?

Given fractions are 40/930,7067/8604

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 40/930,7067/8604, numerators are 40,7067

Denominators are 930,8604

The GCF of 40,7067 is 1 .

LCM of 930,8604 is 1333620.

The greatest common factor of 40/930,7067/8604 = [GCF of 40,7067]/[LCM of 930,8604]= 1/1333620

Therefore, the GCF of 40/930,7067/8604 is 1/1333620.

Greatest Common Factor of 40,7067

To find the highest common factor of 40,7067, 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 7067 are 1, 37, 191, 7067

The HCF of 40,7067 is 1.

Lets's calculate GCF of 40,7067

Greatest Common Factor (GCF) of 40,7067 By Common Division

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

Greatest Common Factor of 40,7067 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7067 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 7067

:

1,37,191,7067

Greatest Common Factor

We found the factors 40,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7067 is 1.

Lets's calculate LCM of 930,8604

Lowest Common Multiple of 930,8604 using Common Division

2 930, 8604
3 465, 4302
155, 1434

∴ So the LCM of the given numbers is 2 x 3 x 155 x 1434 = 1333620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1333620

Therefore, the GCF of Fractions 40/930,7067/8604 is 1/1333620

Least Common Multiple of 930,8604 with GCF Formula

Least Common Multiple of 930,8604 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 930,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,8604) = 6

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

GCF(930,8604) x common factors =6 x 1 = 6

LCM(930,8604) = ( 930 × 8604 ) / 6

LCM(930,8604) = 8001720 / 6

LCM(930,8604) = 1333620


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FAQs on GCF of Fractions of 40/930, 7067/8604

1. What is the HCF of 40,7067?

The HCF of 40,7067 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 40/930, 7067/8604?

Answer: GCF of Numerators as per given numbers 40/930, 7067/8604 is

GCF of Numerators i.e. for 40,7067 is 1

LCM of denominators i.e. for 930,8604 is 1333620.

Thus, GCF of Fractions is 1/1333620.Finally, GCF of Fractions for 40/930, 7067/8604 is 1/1333620.