GCF of 7151/410, 9636/8677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7151/410, 9636/8677 i.e 1/3557570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7151/410, 9636/8677.
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 7151/410,9636/8677?
Given fractions are 7151/410,9636/8677
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 7151/410,9636/8677, numerators are 7151,9636
Denominators are 410,8677
The GCF of 7151,9636 is 1 .
LCM of 410,8677 is 3557570.
The greatest common factor of 7151/410,9636/8677 = [GCF of 7151,9636]/[LCM of 410,8677]= 1/3557570
Therefore, the GCF of 7151/410,9636/8677 is 1/3557570.
To find the highest common factor of 7151,9636, we have to find the factors of both numbers and list the highest common factor.
The factors of 7151 are 1, 7151
The factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636
The HCF of 7151,9636 is 1.
Lets's calculate GCF of 7151,9636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7151,9636 By Matching Biggest Common Factor Method
Now, list down the factors of 7151
:1,7151
Now, list down the factors of 9636
:1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Greatest Common Factor
We found the factors 7151,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 7151,9636 is 1.
Lets's calculate LCM of 410,8677
Given numbers has no common factors except 1. So, there LCM is their product i.e 3557570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3557570
Therefore, the GCF of Fractions 7151/410,9636/8677 is 1/3557570
Least Common Multiple of 410,8677 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 410,8677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,8677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,8677) x common factors =1 x 1 = 1
LCM(410,8677) = ( 410 × 8677 ) / 1
LCM(410,8677) = 3557570 / 1
LCM(410,8677) = 3557570
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FAQs on GCF of Fractions of 7151/410, 9636/8677
1. What is the HCF of 7151,9636?
The HCF of 7151,9636 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 7151/410, 9636/8677?
Answer: GCF of Numerators as per given numbers 7151/410, 9636/8677 is
GCF of Numerators i.e. for 7151,9636 is 1
LCM of denominators i.e. for 410,8677 is 3557570.
Thus, GCF of Fractions is 1/3557570.Finally, GCF of Fractions for 7151/410, 9636/8677 is 1/3557570.