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GCF of 4656/755, 1702/575

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 4656/755, 1702/575 i.e 2/86825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4656/755, 1702/575.

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 4656/755,1702/575?

Given fractions are 4656/755,1702/575

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 4656/755,1702/575, numerators are 4656,1702

Denominators are 755,575

The GCF of 4656,1702 is 2 .

LCM of 755,575 is 86825.

The greatest common factor of 4656/755,1702/575 = [GCF of 4656,1702]/[LCM of 755,575]= 2/86825

Therefore, the GCF of 4656/755,1702/575 is 2/86825.

Greatest Common Factor of 4656,1702

To find the highest common factor of 4656,1702, we have to find the factors of both numbers and list the highest common factor.

The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656

The factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702

The HCF of 4656,1702 is 2.

Lets's calculate GCF of 4656,1702

Greatest Common Factor (GCF) of 4656,1702 By Common Division

2 4656, 1702
2328, 851

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4656,1702 By Matching Biggest Common Factor Method

Greatest Common Factor of 4656,1702 By Matching Biggest Common Factor Method

Now, list down the factors of 4656

:

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Now, list down the factors of 1702

:

1,2,23,37,46,74,851,1702

Greatest Common Factor

We found the factors 4656,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,1702 is 2.


Lets's calculate LCM of 755,575

Lowest Common Multiple of 755,575 using Common Division

5 755, 575
151, 115

∴ So the LCM of the given numbers is 5 x 151 x 115 = 86825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86825

Therefore, the GCF of Fractions 4656/755,1702/575 is 2/86825

Least Common Multiple of 755,575 with GCF Formula

Least Common Multiple of 755,575 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 755,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,575) = 5

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

GCF(755,575) x common factors =5 x 1 = 5

LCM(755,575) = ( 755 × 575 ) / 5

LCM(755,575) = 434125 / 5

LCM(755,575) = 86825


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4656/755, 1702/575

1. What is the HCF of 4656,1702?

The HCF of 4656,1702 is 2

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 4656/755, 1702/575?

Answer: GCF of Numerators as per given numbers 4656/755, 1702/575 is

GCF of Numerators i.e. for 4656,1702 is 2

LCM of denominators i.e. for 755,575 is 86825.

Thus, GCF of Fractions is 2/86825.Finally, GCF of Fractions for 4656/755, 1702/575 is 2/86825.