GCF of 2851/267, 7950/527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2851/267, 7950/527 i.e 1/140709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2851/267, 7950/527.
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 2851/267,7950/527?
Given fractions are 2851/267,7950/527
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 2851/267,7950/527, numerators are 2851,7950
Denominators are 267,527
The GCF of 2851,7950 is 1 .
LCM of 267,527 is 140709.
The greatest common factor of 2851/267,7950/527 = [GCF of 2851,7950]/[LCM of 267,527]= 1/140709
Therefore, the GCF of 2851/267,7950/527 is 1/140709.
To find the highest common factor of 2851,7950, we have to find the factors of both numbers and list the highest common factor.
The factors of 2851 are 1, 2851
The factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950
The HCF of 2851,7950 is 1.
Lets's calculate GCF of 2851,7950
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2851,7950 By Matching Biggest Common Factor Method
Now, list down the factors of 2851
:1,2851
Now, list down the factors of 7950
:1,2,3,5,6,10,15,25,30,50,53,75,106,150,159,265,318,530,795,1325,1590,2650,3975,7950
Greatest Common Factor
We found the factors 2851,7950 . The biggest common factor number is the GCF number.
So the greatest common factor 2851,7950 is 1.
Lets's calculate LCM of 267,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 140709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140709
Therefore, the GCF of Fractions 2851/267,7950/527 is 1/140709
Least Common Multiple of 267,527 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 267,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,527) x common factors =1 x 1 = 1
LCM(267,527) = ( 267 × 527 ) / 1
LCM(267,527) = 140709 / 1
LCM(267,527) = 140709
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FAQs on GCF of Fractions of 2851/267, 7950/527
1. What is the HCF of 2851,7950?
The HCF of 2851,7950 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 2851/267, 7950/527?
Answer: GCF of Numerators as per given numbers 2851/267, 7950/527 is
GCF of Numerators i.e. for 2851,7950 is 1
LCM of denominators i.e. for 267,527 is 140709.
Thus, GCF of Fractions is 1/140709.Finally, GCF of Fractions for 2851/267, 7950/527 is 1/140709.