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GCF of 606/47, 505/688

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 606/47, 505/688 i.e 101/32336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/47, 505/688.

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 606/47,505/688?

Given fractions are 606/47,505/688

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 606/47,505/688, numerators are 606,505

Denominators are 47,688

The GCF of 606,505 is 101 .

LCM of 47,688 is 32336.

The greatest common factor of 606/47,505/688 = [GCF of 606,505]/[LCM of 47,688]= 101/32336

Therefore, the GCF of 606/47,505/688 is 101/32336.

Greatest Common Factor of 606,505

To find the highest common factor of 606,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606

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

The HCF of 606,505 is 101.

Lets's calculate GCF of 606,505

Greatest Common Factor (GCF) of 606,505 By Common Division

101 606, 505
6, 5

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 606,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,505 By Matching Biggest Common Factor Method

Now, list down the factors of 606

:

1,2,3,6,101,202,303,606

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 606,505 . The biggest common factor number is the GCF number.
So the greatest common factor 606,505 is 101.

Lets's calculate LCM of 47,688

Lowest Common Multiple of 47,688 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/32336

Therefore, the GCF of Fractions 606/47,505/688 is 101/32336

Least Common Multiple of 47,688 with GCF Formula

Least Common Multiple of 47,688 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 47,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,688) = 1

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

GCF(47,688) x common factors =1 x 1 = 1

LCM(47,688) = ( 47 × 688 ) / 1

LCM(47,688) = 32336 / 1

LCM(47,688) = 32336


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FAQs on GCF of Fractions of 606/47, 505/688

1. What is the HCF of 606,505?

The HCF of 606,505 is 101

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 606/47, 505/688?

Answer: GCF of Numerators as per given numbers 606/47, 505/688 is

GCF of Numerators i.e. for 606,505 is 101

LCM of denominators i.e. for 47,688 is 32336.

Thus, GCF of Fractions is 101/32336.Finally, GCF of Fractions for 606/47, 505/688 is 101/32336.