GCF of 9856/376, 8117/7109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9856/376, 8117/7109 i.e 1/2672984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9856/376, 8117/7109.
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 9856/376,8117/7109?
Given fractions are 9856/376,8117/7109
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 9856/376,8117/7109, numerators are 9856,8117
Denominators are 376,7109
The GCF of 9856,8117 is 1 .
LCM of 376,7109 is 2672984.
The greatest common factor of 9856/376,8117/7109 = [GCF of 9856,8117]/[LCM of 376,7109]= 1/2672984
Therefore, the GCF of 9856/376,8117/7109 is 1/2672984.
To find the highest common factor of 9856,8117, we have to find the factors of both numbers and list the highest common factor.
The factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856
The factors of 8117 are 1, 8117
The HCF of 9856,8117 is 1.
Lets's calculate GCF of 9856,8117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9856,8117 By Matching Biggest Common Factor Method
Now, list down the factors of 9856
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856
Now, list down the factors of 8117
:1,8117
Greatest Common Factor
We found the factors 9856,8117 . The biggest common factor number is the GCF number.
So the greatest common factor 9856,8117 is 1.
Lets's calculate LCM of 376,7109
Given numbers has no common factors except 1. So, there LCM is their product i.e 2672984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2672984
Therefore, the GCF of Fractions 9856/376,8117/7109 is 1/2672984
Least Common Multiple of 376,7109 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 376,7109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,7109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,7109) x common factors =1 x 1 = 1
LCM(376,7109) = ( 376 × 7109 ) / 1
LCM(376,7109) = 2672984 / 1
LCM(376,7109) = 2672984
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FAQs on GCF of Fractions of 9856/376, 8117/7109
1. What is the HCF of 9856,8117?
The HCF of 9856,8117 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 9856/376, 8117/7109?
Answer: GCF of Numerators as per given numbers 9856/376, 8117/7109 is
GCF of Numerators i.e. for 9856,8117 is 1
LCM of denominators i.e. for 376,7109 is 2672984.
Thus, GCF of Fractions is 1/2672984.Finally, GCF of Fractions for 9856/376, 8117/7109 is 1/2672984.