GCF of 9175/558, 2912/6905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9175/558, 2912/6905 i.e 1/3852990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9175/558, 2912/6905.
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 9175/558,2912/6905?
Given fractions are 9175/558,2912/6905
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 9175/558,2912/6905, numerators are 9175,2912
Denominators are 558,6905
The GCF of 9175,2912 is 1 .
LCM of 558,6905 is 3852990.
The greatest common factor of 9175/558,2912/6905 = [GCF of 9175,2912]/[LCM of 558,6905]= 1/3852990
Therefore, the GCF of 9175/558,2912/6905 is 1/3852990.
To find the highest common factor of 9175,2912, we have to find the factors of both numbers and list the highest common factor.
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The HCF of 9175,2912 is 1.
Lets's calculate GCF of 9175,2912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9175,2912 By Matching Biggest Common Factor Method
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Greatest Common Factor
We found the factors 9175,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 9175,2912 is 1.
Lets's calculate LCM of 558,6905
Given numbers has no common factors except 1. So, there LCM is their product i.e 3852990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3852990
Therefore, the GCF of Fractions 9175/558,2912/6905 is 1/3852990
Least Common Multiple of 558,6905 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 558,6905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,6905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,6905) x common factors =1 x 1 = 1
LCM(558,6905) = ( 558 × 6905 ) / 1
LCM(558,6905) = 3852990 / 1
LCM(558,6905) = 3852990
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FAQs on GCF of Fractions of 9175/558, 2912/6905
1. What is the HCF of 9175,2912?
The HCF of 9175,2912 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 9175/558, 2912/6905?
Answer: GCF of Numerators as per given numbers 9175/558, 2912/6905 is
GCF of Numerators i.e. for 9175,2912 is 1
LCM of denominators i.e. for 558,6905 is 3852990.
Thus, GCF of Fractions is 1/3852990.Finally, GCF of Fractions for 9175/558, 2912/6905 is 1/3852990.