GCF of 8758/688, 8601/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8758/688, 8601/241 i.e 1/165808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8758/688, 8601/241.
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 8758/688,8601/241?
Given fractions are 8758/688,8601/241
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 8758/688,8601/241, numerators are 8758,8601
Denominators are 688,241
The GCF of 8758,8601 is 1 .
LCM of 688,241 is 165808.
The greatest common factor of 8758/688,8601/241 = [GCF of 8758,8601]/[LCM of 688,241]= 1/165808
Therefore, the GCF of 8758/688,8601/241 is 1/165808.
To find the highest common factor of 8758,8601, we have to find the factors of both numbers and list the highest common factor.
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601
The HCF of 8758,8601 is 1.
Lets's calculate GCF of 8758,8601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8758,8601 By Matching Biggest Common Factor Method
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Now, list down the factors of 8601
:1,3,47,61,141,183,2867,8601
Greatest Common Factor
We found the factors 8758,8601 . The biggest common factor number is the GCF number.
So the greatest common factor 8758,8601 is 1.
Lets's calculate LCM of 688,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 165808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165808
Therefore, the GCF of Fractions 8758/688,8601/241 is 1/165808
Least Common Multiple of 688,241 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 688,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,241) x common factors =1 x 1 = 1
LCM(688,241) = ( 688 × 241 ) / 1
LCM(688,241) = 165808 / 1
LCM(688,241) = 165808
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FAQs on GCF of Fractions of 8758/688, 8601/241
1. What is the HCF of 8758,8601?
The HCF of 8758,8601 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 8758/688, 8601/241?
Answer: GCF of Numerators as per given numbers 8758/688, 8601/241 is
GCF of Numerators i.e. for 8758,8601 is 1
LCM of denominators i.e. for 688,241 is 165808.
Thus, GCF of Fractions is 1/165808.Finally, GCF of Fractions for 8758/688, 8601/241 is 1/165808.