GCF of 3175/986, 2633/7103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3175/986, 2633/7103 i.e 1/7003558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3175/986, 2633/7103.
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 3175/986,2633/7103?
Given fractions are 3175/986,2633/7103
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 3175/986,2633/7103, numerators are 3175,2633
Denominators are 986,7103
The GCF of 3175,2633 is 1 .
LCM of 986,7103 is 7003558.
The greatest common factor of 3175/986,2633/7103 = [GCF of 3175,2633]/[LCM of 986,7103]= 1/7003558
Therefore, the GCF of 3175/986,2633/7103 is 1/7003558.
To find the highest common factor of 3175,2633, we have to find the factors of both numbers and list the highest common factor.
The factors of 3175 are 1, 5, 25, 127, 635, 3175
The factors of 2633 are 1, 2633
The HCF of 3175,2633 is 1.
Lets's calculate GCF of 3175,2633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3175,2633 By Matching Biggest Common Factor Method
Now, list down the factors of 3175
:1,5,25,127,635,3175
Now, list down the factors of 2633
:1,2633
Greatest Common Factor
We found the factors 3175,2633 . The biggest common factor number is the GCF number.
So the greatest common factor 3175,2633 is 1.
Lets's calculate LCM of 986,7103
Given numbers has no common factors except 1. So, there LCM is their product i.e 7003558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7003558
Therefore, the GCF of Fractions 3175/986,2633/7103 is 1/7003558
Least Common Multiple of 986,7103 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 986,7103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,7103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,7103) x common factors =1 x 1 = 1
LCM(986,7103) = ( 986 × 7103 ) / 1
LCM(986,7103) = 7003558 / 1
LCM(986,7103) = 7003558
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FAQs on GCF of Fractions of 3175/986, 2633/7103
1. What is the HCF of 3175,2633?
The HCF of 3175,2633 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 3175/986, 2633/7103?
Answer: GCF of Numerators as per given numbers 3175/986, 2633/7103 is
GCF of Numerators i.e. for 3175,2633 is 1
LCM of denominators i.e. for 986,7103 is 7003558.
Thus, GCF of Fractions is 1/7003558.Finally, GCF of Fractions for 3175/986, 2633/7103 is 1/7003558.