GCF of 8714/281, 1869/355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8714/281, 1869/355 i.e 1/99755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8714/281, 1869/355.
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 8714/281,1869/355?
Given fractions are 8714/281,1869/355
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 8714/281,1869/355, numerators are 8714,1869
Denominators are 281,355
The GCF of 8714,1869 is 1 .
LCM of 281,355 is 99755.
The greatest common factor of 8714/281,1869/355 = [GCF of 8714,1869]/[LCM of 281,355]= 1/99755
Therefore, the GCF of 8714/281,1869/355 is 1/99755.
To find the highest common factor of 8714,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 8714 are 1, 2, 4357, 8714
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 8714,1869 is 1.
Lets's calculate GCF of 8714,1869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8714,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 8714
:1,2,4357,8714
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 8714,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 8714,1869 is 1.
Lets's calculate LCM of 281,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 99755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99755
Therefore, the GCF of Fractions 8714/281,1869/355 is 1/99755
Least Common Multiple of 281,355 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 281,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,355) x common factors =1 x 1 = 1
LCM(281,355) = ( 281 × 355 ) / 1
LCM(281,355) = 99755 / 1
LCM(281,355) = 99755
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FAQs on GCF of Fractions of 8714/281, 1869/355
1. What is the HCF of 8714,1869?
The HCF of 8714,1869 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 8714/281, 1869/355?
Answer: GCF of Numerators as per given numbers 8714/281, 1869/355 is
GCF of Numerators i.e. for 8714,1869 is 1
LCM of denominators i.e. for 281,355 is 99755.
Thus, GCF of Fractions is 1/99755.Finally, GCF of Fractions for 8714/281, 1869/355 is 1/99755.