GCF of 1635/746, 8582/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1635/746, 8582/174 i.e 1/64902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1635/746, 8582/174.
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 1635/746,8582/174?
Given fractions are 1635/746,8582/174
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 1635/746,8582/174, numerators are 1635,8582
Denominators are 746,174
The GCF of 1635,8582 is 1 .
LCM of 746,174 is 64902.
The greatest common factor of 1635/746,8582/174 = [GCF of 1635,8582]/[LCM of 746,174]= 1/64902
Therefore, the GCF of 1635/746,8582/174 is 1/64902.
To find the highest common factor of 1635,8582, we have to find the factors of both numbers and list the highest common factor.
The factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635
The factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582
The HCF of 1635,8582 is 1.
Lets's calculate GCF of 1635,8582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1635,8582 By Matching Biggest Common Factor Method
Now, list down the factors of 1635
:1,3,5,15,109,327,545,1635
Now, list down the factors of 8582
:1,2,7,14,613,1226,4291,8582
Greatest Common Factor
We found the factors 1635,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 1635,8582 is 1.
Lets's calculate LCM of 746,174
| 2 | 746, 174 |
| 373, 87 |
∴ So the LCM of the given numbers is 2 x 373 x 87 = 64902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64902
Therefore, the GCF of Fractions 1635/746,8582/174 is 1/64902
Least Common Multiple of 746,174 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 746,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,174) x common factors =2 x 1 = 2
LCM(746,174) = ( 746 × 174 ) / 2
LCM(746,174) = 129804 / 2
LCM(746,174) = 64902
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FAQs on GCF of Fractions of 1635/746, 8582/174
1. What is the HCF of 1635,8582?
The HCF of 1635,8582 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 1635/746, 8582/174?
Answer: GCF of Numerators as per given numbers 1635/746, 8582/174 is
GCF of Numerators i.e. for 1635,8582 is 1
LCM of denominators i.e. for 746,174 is 64902.
Thus, GCF of Fractions is 1/64902.Finally, GCF of Fractions for 1635/746, 8582/174 is 1/64902.