GCF of 4789/751, 6676/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4789/751, 6676/210 i.e 1/157710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4789/751, 6676/210.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4789/751,6676/210?
Given fractions are 4789/751,6676/210
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 4789/751,6676/210, numerators are 4789,6676
Denominators are 751,210
The GCF of 4789,6676 is 1 .
LCM of 751,210 is 157710.
The greatest common factor of 4789/751,6676/210 = [GCF of 4789,6676]/[LCM of 751,210]= 1/157710
Therefore, the GCF of 4789/751,6676/210 is 1/157710.
To find the highest common factor of 4789,6676, we have to find the factors of both numbers and list the highest common factor.
The factors of 4789 are 1, 4789
The factors of 6676 are 1, 2, 4, 1669, 3338, 6676
The HCF of 4789,6676 is 1.
Lets's calculate GCF of 4789,6676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4789,6676 By Matching Biggest Common Factor Method
Now, list down the factors of 4789
:1,4789
Now, list down the factors of 6676
:1,2,4,1669,3338,6676
Greatest Common Factor
We found the factors 4789,6676 . The biggest common factor number is the GCF number.
So the greatest common factor 4789,6676 is 1.
Lets's calculate LCM of 751,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 157710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157710
Therefore, the GCF of Fractions 4789/751,6676/210 is 1/157710
Least Common Multiple of 751,210 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 751,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,210) x common factors =1 x 1 = 1
LCM(751,210) = ( 751 × 210 ) / 1
LCM(751,210) = 157710 / 1
LCM(751,210) = 157710
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FAQs on GCF of Fractions of 4789/751, 6676/210
1. What is the HCF of 4789,6676?
The HCF of 4789,6676 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 4789/751, 6676/210?
Answer: GCF of Numerators as per given numbers 4789/751, 6676/210 is
GCF of Numerators i.e. for 4789,6676 is 1
LCM of denominators i.e. for 751,210 is 157710.
Thus, GCF of Fractions is 1/157710.Finally, GCF of Fractions for 4789/751, 6676/210 is 1/157710.