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GCF of 607/40, 416/1292

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 607/40, 416/1292 i.e 1/12920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 607/40, 416/1292.

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 607/40,416/1292?

Given fractions are 607/40,416/1292

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 607/40,416/1292, numerators are 607,416

Denominators are 40,1292

The GCF of 607,416 is 1 .

LCM of 40,1292 is 12920.

The greatest common factor of 607/40,416/1292 = [GCF of 607,416]/[LCM of 40,1292]= 1/12920

Therefore, the GCF of 607/40,416/1292 is 1/12920.

Greatest Common Factor of 607,416

To find the highest common factor of 607,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 607 are 1, 607

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 607,416 is 1.

Lets's calculate GCF of 607,416

Greatest Common Factor (GCF) of 607,416 By Common Division

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

Greatest Common Factor of 607,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,416 By Matching Biggest Common Factor Method

Now, list down the factors of 607

:

1,607

Now, list down the factors of 416

:

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 607,416 . The biggest common factor number is the GCF number.
So the greatest common factor 607,416 is 1.

Lets's calculate LCM of 40,1292

Lowest Common Multiple of 40,1292 using Common Division

2 40, 1292
2 20, 646
10, 323

∴ So the LCM of the given numbers is 2 x 2 x 10 x 323 = 12920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12920

Therefore, the GCF of Fractions 607/40,416/1292 is 1/12920

Least Common Multiple of 40,1292 with GCF Formula

Least Common Multiple of 40,1292 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 40,1292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,1292) = 4

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

GCF(40,1292) x common factors =4 x 1 = 4

LCM(40,1292) = ( 40 × 1292 ) / 4

LCM(40,1292) = 51680 / 4

LCM(40,1292) = 12920


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FAQs on GCF of Fractions of 607/40, 416/1292

1. What is the HCF of 607,416?

The HCF of 607,416 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 607/40, 416/1292?

Answer: GCF of Numerators as per given numbers 607/40, 416/1292 is

GCF of Numerators i.e. for 607,416 is 1

LCM of denominators i.e. for 40,1292 is 12920.

Thus, GCF of Fractions is 1/12920.Finally, GCF of Fractions for 607/40, 416/1292 is 1/12920.