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GCF of 505/659, 6046/422

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 505/659, 6046/422 i.e 1/278098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 505/659, 6046/422.

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 505/659,6046/422?

Given fractions are 505/659,6046/422

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 505/659,6046/422, numerators are 505,6046

Denominators are 659,422

The GCF of 505,6046 is 1 .

LCM of 659,422 is 278098.

The greatest common factor of 505/659,6046/422 = [GCF of 505,6046]/[LCM of 659,422]= 1/278098

Therefore, the GCF of 505/659,6046/422 is 1/278098.

Greatest Common Factor of 505,6046

To find the highest common factor of 505,6046, we have to find the factors of both numbers and list the highest common factor.

The factors of 505 are 1, 5, 101, 505

The factors of 6046 are 1, 2, 3023, 6046

The HCF of 505,6046 is 1.

Lets's calculate GCF of 505,6046

Greatest Common Factor (GCF) of 505,6046 By Common Division

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

Greatest Common Factor of 505,6046 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,6046 By Matching Biggest Common Factor Method

Now, list down the factors of 505

:

1,5,101,505

Now, list down the factors of 6046

:

1,2,3023,6046

Greatest Common Factor

We found the factors 505,6046 . The biggest common factor number is the GCF number.
So the greatest common factor 505,6046 is 1.

Lets's calculate LCM of 659,422

Lowest Common Multiple of 659,422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 278098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278098

Therefore, the GCF of Fractions 505/659,6046/422 is 1/278098

Least Common Multiple of 659,422 with GCF Formula

Least Common Multiple of 659,422 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 659,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,422) = 1

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

GCF(659,422) x common factors =1 x 1 = 1

LCM(659,422) = ( 659 × 422 ) / 1

LCM(659,422) = 278098 / 1

LCM(659,422) = 278098


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FAQs on GCF of Fractions of 505/659, 6046/422

1. What is the HCF of 505,6046?

The HCF of 505,6046 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 505/659, 6046/422?

Answer: GCF of Numerators as per given numbers 505/659, 6046/422 is

GCF of Numerators i.e. for 505,6046 is 1

LCM of denominators i.e. for 659,422 is 278098.

Thus, GCF of Fractions is 1/278098.Finally, GCF of Fractions for 505/659, 6046/422 is 1/278098.