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GCF of 46/670, 4855/4484

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 46/670, 4855/4484 i.e 1/1502140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/670, 4855/4484.

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 46/670,4855/4484?

Given fractions are 46/670,4855/4484

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 46/670,4855/4484, numerators are 46,4855

Denominators are 670,4484

The GCF of 46,4855 is 1 .

LCM of 670,4484 is 1502140.

The greatest common factor of 46/670,4855/4484 = [GCF of 46,4855]/[LCM of 670,4484]= 1/1502140

Therefore, the GCF of 46/670,4855/4484 is 1/1502140.

Greatest Common Factor of 46,4855

To find the highest common factor of 46,4855, we have to find the factors of both numbers and list the highest common factor.

The factors of 46 are 1, 2, 23, 46

The factors of 4855 are 1, 5, 971, 4855

The HCF of 46,4855 is 1.

Lets's calculate GCF of 46,4855

Greatest Common Factor (GCF) of 46,4855 By Common Division

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

Greatest Common Factor of 46,4855 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,4855 By Matching Biggest Common Factor Method

Now, list down the factors of 46

:

1,2,23,46

Now, list down the factors of 4855

:

1,5,971,4855

Greatest Common Factor

We found the factors 46,4855 . The biggest common factor number is the GCF number.
So the greatest common factor 46,4855 is 1.

Lets's calculate LCM of 670,4484

Lowest Common Multiple of 670,4484 using Common Division

2 670, 4484
335, 2242

∴ So the LCM of the given numbers is 2 x 335 x 2242 = 1502140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1502140

Therefore, the GCF of Fractions 46/670,4855/4484 is 1/1502140

Least Common Multiple of 670,4484 with GCF Formula

Least Common Multiple of 670,4484 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 670,4484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,4484) = 2

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

GCF(670,4484) x common factors =2 x 1 = 2

LCM(670,4484) = ( 670 × 4484 ) / 2

LCM(670,4484) = 3004280 / 2

LCM(670,4484) = 1502140


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FAQs on GCF of Fractions of 46/670, 4855/4484

1. What is the HCF of 46,4855?

The HCF of 46,4855 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 46/670, 4855/4484?

Answer: GCF of Numerators as per given numbers 46/670, 4855/4484 is

GCF of Numerators i.e. for 46,4855 is 1

LCM of denominators i.e. for 670,4484 is 1502140.

Thus, GCF of Fractions is 1/1502140.Finally, GCF of Fractions for 46/670, 4855/4484 is 1/1502140.