GCF of 280/133, 851/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 280/133, 851/464 i.e 1/61712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 280/133, 851/464.
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 280/133,851/464?
Given fractions are 280/133,851/464
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 280/133,851/464, numerators are 280,851
Denominators are 133,464
The GCF of 280,851 is 1 .
LCM of 133,464 is 61712.
The greatest common factor of 280/133,851/464 = [GCF of 280,851]/[LCM of 133,464]= 1/61712
Therefore, the GCF of 280/133,851/464 is 1/61712.
To find the highest common factor of 280,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The factors of 851 are 1, 23, 37, 851
The HCF of 280,851 is 1.
Lets's calculate GCF of 280,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 280,851 By Matching Biggest Common Factor Method
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 280,851 . The biggest common factor number is the GCF number.
So the greatest common factor 280,851 is 1.
Lets's calculate LCM of 133,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 61712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61712
Therefore, the GCF of Fractions 280/133,851/464 is 1/61712
Least Common Multiple of 133,464 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 133,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,464) x common factors =1 x 1 = 1
LCM(133,464) = ( 133 × 464 ) / 1
LCM(133,464) = 61712 / 1
LCM(133,464) = 61712
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FAQs on GCF of Fractions of 280/133, 851/464
1. What is the HCF of 280,851?
The HCF of 280,851 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 280/133, 851/464?
Answer: GCF of Numerators as per given numbers 280/133, 851/464 is
GCF of Numerators i.e. for 280,851 is 1
LCM of denominators i.e. for 133,464 is 61712.
Thus, GCF of Fractions is 1/61712.Finally, GCF of Fractions for 280/133, 851/464 is 1/61712.