GCF of 3625/788, 8477/8582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3625/788, 8477/8582 i.e 1/3381308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3625/788, 8477/8582.
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 3625/788,8477/8582?
Given fractions are 3625/788,8477/8582
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 3625/788,8477/8582, numerators are 3625,8477
Denominators are 788,8582
The GCF of 3625,8477 is 1 .
LCM of 788,8582 is 3381308.
The greatest common factor of 3625/788,8477/8582 = [GCF of 3625,8477]/[LCM of 788,8582]= 1/3381308
Therefore, the GCF of 3625/788,8477/8582 is 1/3381308.
To find the highest common factor of 3625,8477, we have to find the factors of both numbers and list the highest common factor.
The factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625
The factors of 8477 are 1, 7, 49, 173, 1211, 8477
The HCF of 3625,8477 is 1.
Lets's calculate GCF of 3625,8477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3625,8477 By Matching Biggest Common Factor Method
Now, list down the factors of 3625
:1,5,25,29,125,145,725,3625
Now, list down the factors of 8477
:1,7,49,173,1211,8477
Greatest Common Factor
We found the factors 3625,8477 . The biggest common factor number is the GCF number.
So the greatest common factor 3625,8477 is 1.
Lets's calculate LCM of 788,8582
| 2 | 788, 8582 |
| 394, 4291 |
∴ So the LCM of the given numbers is 2 x 394 x 4291 = 3381308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3381308
Therefore, the GCF of Fractions 3625/788,8477/8582 is 1/3381308
Least Common Multiple of 788,8582 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 788,8582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,8582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,8582) x common factors =2 x 1 = 2
LCM(788,8582) = ( 788 × 8582 ) / 2
LCM(788,8582) = 6762616 / 2
LCM(788,8582) = 3381308
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FAQs on GCF of Fractions of 3625/788, 8477/8582
1. What is the HCF of 3625,8477?
The HCF of 3625,8477 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 3625/788, 8477/8582?
Answer: GCF of Numerators as per given numbers 3625/788, 8477/8582 is
GCF of Numerators i.e. for 3625,8477 is 1
LCM of denominators i.e. for 788,8582 is 3381308.
Thus, GCF of Fractions is 1/3381308.Finally, GCF of Fractions for 3625/788, 8477/8582 is 1/3381308.