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GCF of 416/740, 983/465

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 416/740, 983/465 i.e 1/68820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/740, 983/465.

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 416/740,983/465?

Given fractions are 416/740,983/465

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 416/740,983/465, numerators are 416,983

Denominators are 740,465

The GCF of 416,983 is 1 .

LCM of 740,465 is 68820.

The greatest common factor of 416/740,983/465 = [GCF of 416,983]/[LCM of 740,465]= 1/68820

Therefore, the GCF of 416/740,983/465 is 1/68820.

Greatest Common Factor of 416,983

To find the highest common factor of 416,983, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 983 are 1, 983

The HCF of 416,983 is 1.

Lets's calculate GCF of 416,983

Greatest Common Factor (GCF) of 416,983 By Common Division

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

Greatest Common Factor of 416,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,983 By Matching Biggest Common Factor Method

Now, list down the factors of 416

:

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

Now, list down the factors of 983

:

1,983

Greatest Common Factor

We found the factors 416,983 . The biggest common factor number is the GCF number.
So the greatest common factor 416,983 is 1.

Lets's calculate LCM of 740,465

Lowest Common Multiple of 740,465 using Common Division

5 740, 465
148, 93

∴ So the LCM of the given numbers is 5 x 148 x 93 = 68820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68820

Therefore, the GCF of Fractions 416/740,983/465 is 1/68820

Least Common Multiple of 740,465 with GCF Formula

Least Common Multiple of 740,465 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 740,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,465) = 5

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

GCF(740,465) x common factors =5 x 1 = 5

LCM(740,465) = ( 740 × 465 ) / 5

LCM(740,465) = 344100 / 5

LCM(740,465) = 68820


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FAQs on GCF of Fractions of 416/740, 983/465

1. What is the HCF of 416,983?

The HCF of 416,983 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 416/740, 983/465?

Answer: GCF of Numerators as per given numbers 416/740, 983/465 is

GCF of Numerators i.e. for 416,983 is 1

LCM of denominators i.e. for 740,465 is 68820.

Thus, GCF of Fractions is 1/68820.Finally, GCF of Fractions for 416/740, 983/465 is 1/68820.