GCF of 8477/284, 3928/7970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8477/284, 3928/7970 i.e 1/1131740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8477/284, 3928/7970.
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 8477/284,3928/7970?
Given fractions are 8477/284,3928/7970
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 8477/284,3928/7970, numerators are 8477,3928
Denominators are 284,7970
The GCF of 8477,3928 is 1 .
LCM of 284,7970 is 1131740.
The greatest common factor of 8477/284,3928/7970 = [GCF of 8477,3928]/[LCM of 284,7970]= 1/1131740
Therefore, the GCF of 8477/284,3928/7970 is 1/1131740.
To find the highest common factor of 8477,3928, we have to find the factors of both numbers and list the highest common factor.
The factors of 8477 are 1, 7, 49, 173, 1211, 8477
The factors of 3928 are 1, 2, 4, 8, 491, 982, 1964, 3928
The HCF of 8477,3928 is 1.
Lets's calculate GCF of 8477,3928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8477,3928 By Matching Biggest Common Factor Method
Now, list down the factors of 8477
:1,7,49,173,1211,8477
Now, list down the factors of 3928
:1,2,4,8,491,982,1964,3928
Greatest Common Factor
We found the factors 8477,3928 . The biggest common factor number is the GCF number.
So the greatest common factor 8477,3928 is 1.
Lets's calculate LCM of 284,7970
| 2 | 284, 7970 |
| 142, 3985 |
∴ So the LCM of the given numbers is 2 x 142 x 3985 = 1131740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1131740
Therefore, the GCF of Fractions 8477/284,3928/7970 is 1/1131740
Least Common Multiple of 284,7970 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 284,7970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,7970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,7970) x common factors =2 x 1 = 2
LCM(284,7970) = ( 284 × 7970 ) / 2
LCM(284,7970) = 2263480 / 2
LCM(284,7970) = 1131740
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FAQs on GCF of Fractions of 8477/284, 3928/7970
1. What is the HCF of 8477,3928?
The HCF of 8477,3928 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 8477/284, 3928/7970?
Answer: GCF of Numerators as per given numbers 8477/284, 3928/7970 is
GCF of Numerators i.e. for 8477,3928 is 1
LCM of denominators i.e. for 284,7970 is 1131740.
Thus, GCF of Fractions is 1/1131740.Finally, GCF of Fractions for 8477/284, 3928/7970 is 1/1131740.