GCF of 9157/807, 6975/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9157/807, 6975/698 i.e 1/563286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9157/807, 6975/698.
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 9157/807,6975/698?
Given fractions are 9157/807,6975/698
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 9157/807,6975/698, numerators are 9157,6975
Denominators are 807,698
The GCF of 9157,6975 is 1 .
LCM of 807,698 is 563286.
The greatest common factor of 9157/807,6975/698 = [GCF of 9157,6975]/[LCM of 807,698]= 1/563286
Therefore, the GCF of 9157/807,6975/698 is 1/563286.
To find the highest common factor of 9157,6975, we have to find the factors of both numbers and list the highest common factor.
The factors of 9157 are 1, 9157
The factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975
The HCF of 9157,6975 is 1.
Lets's calculate GCF of 9157,6975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9157,6975 By Matching Biggest Common Factor Method
Now, list down the factors of 9157
:1,9157
Now, list down the factors of 6975
:1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 9157,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 9157,6975 is 1.
Lets's calculate LCM of 807,698
Given numbers has no common factors except 1. So, there LCM is their product i.e 563286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563286
Therefore, the GCF of Fractions 9157/807,6975/698 is 1/563286
Least Common Multiple of 807,698 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 807,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,698) x common factors =1 x 1 = 1
LCM(807,698) = ( 807 × 698 ) / 1
LCM(807,698) = 563286 / 1
LCM(807,698) = 563286
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FAQs on GCF of Fractions of 9157/807, 6975/698
1. What is the HCF of 9157,6975?
The HCF of 9157,6975 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 9157/807, 6975/698?
Answer: GCF of Numerators as per given numbers 9157/807, 6975/698 is
GCF of Numerators i.e. for 9157,6975 is 1
LCM of denominators i.e. for 807,698 is 563286.
Thus, GCF of Fractions is 1/563286.Finally, GCF of Fractions for 9157/807, 6975/698 is 1/563286.