GCF of 3607/15, 8863/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3607/15, 8863/972 i.e 1/4860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3607/15, 8863/972.
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 3607/15,8863/972?
Given fractions are 3607/15,8863/972
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 3607/15,8863/972, numerators are 3607,8863
Denominators are 15,972
The GCF of 3607,8863 is 1 .
LCM of 15,972 is 4860.
The greatest common factor of 3607/15,8863/972 = [GCF of 3607,8863]/[LCM of 15,972]= 1/4860
Therefore, the GCF of 3607/15,8863/972 is 1/4860.
To find the highest common factor of 3607,8863, we have to find the factors of both numbers and list the highest common factor.
The factors of 3607 are 1, 3607
The factors of 8863 are 1, 8863
The HCF of 3607,8863 is 1.
Lets's calculate GCF of 3607,8863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3607,8863 By Matching Biggest Common Factor Method
Now, list down the factors of 3607
:1,3607
Now, list down the factors of 8863
:1,8863
Greatest Common Factor
We found the factors 3607,8863 . The biggest common factor number is the GCF number.
So the greatest common factor 3607,8863 is 1.
Lets's calculate LCM of 15,972
| 3 | 15, 972 |
| 5, 324 |
∴ So the LCM of the given numbers is 3 x 5 x 324 = 4860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4860
Therefore, the GCF of Fractions 3607/15,8863/972 is 1/4860
Least Common Multiple of 15,972 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 15,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,972) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,972) x common factors =3 x 1 = 3
LCM(15,972) = ( 15 × 972 ) / 3
LCM(15,972) = 14580 / 3
LCM(15,972) = 4860
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FAQs on GCF of Fractions of 3607/15, 8863/972
1. What is the HCF of 3607,8863?
The HCF of 3607,8863 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 3607/15, 8863/972?
Answer: GCF of Numerators as per given numbers 3607/15, 8863/972 is
GCF of Numerators i.e. for 3607,8863 is 1
LCM of denominators i.e. for 15,972 is 4860.
Thus, GCF of Fractions is 1/4860.Finally, GCF of Fractions for 3607/15, 8863/972 is 1/4860.