GCF of 867/77, 377/5751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/77, 377/5751 i.e 1/442827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/77, 377/5751.
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 867/77,377/5751?
Given fractions are 867/77,377/5751
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 867/77,377/5751, numerators are 867,377
Denominators are 77,5751
The GCF of 867,377 is 1 .
LCM of 77,5751 is 442827.
The greatest common factor of 867/77,377/5751 = [GCF of 867,377]/[LCM of 77,5751]= 1/442827
Therefore, the GCF of 867/77,377/5751 is 1/442827.
To find the highest common factor of 867,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 377 are 1, 13, 29, 377
The HCF of 867,377 is 1.
Lets's calculate GCF of 867,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 867,377 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 867,377 . The biggest common factor number is the GCF number.
So the greatest common factor 867,377 is 1.
Lets's calculate LCM of 77,5751
Given numbers has no common factors except 1. So, there LCM is their product i.e 442827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442827
Therefore, the GCF of Fractions 867/77,377/5751 is 1/442827
Least Common Multiple of 77,5751 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 77,5751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,5751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,5751) x common factors =1 x 1 = 1
LCM(77,5751) = ( 77 × 5751 ) / 1
LCM(77,5751) = 442827 / 1
LCM(77,5751) = 442827
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FAQs on GCF of Fractions of 867/77, 377/5751
1. What is the HCF of 867,377?
The HCF of 867,377 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 867/77, 377/5751?
Answer: GCF of Numerators as per given numbers 867/77, 377/5751 is
GCF of Numerators i.e. for 867,377 is 1
LCM of denominators i.e. for 77,5751 is 442827.
Thus, GCF of Fractions is 1/442827.Finally, GCF of Fractions for 867/77, 377/5751 is 1/442827.