GCF of 7987/382, 3573/8478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7987/382, 3573/8478 i.e 1/1619298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7987/382, 3573/8478.
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 7987/382,3573/8478?
Given fractions are 7987/382,3573/8478
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 7987/382,3573/8478, numerators are 7987,3573
Denominators are 382,8478
The GCF of 7987,3573 is 1 .
LCM of 382,8478 is 1619298.
The greatest common factor of 7987/382,3573/8478 = [GCF of 7987,3573]/[LCM of 382,8478]= 1/1619298
Therefore, the GCF of 7987/382,3573/8478 is 1/1619298.
To find the highest common factor of 7987,3573, we have to find the factors of both numbers and list the highest common factor.
The factors of 7987 are 1, 7, 49, 163, 1141, 7987
The factors of 3573 are 1, 3, 9, 397, 1191, 3573
The HCF of 7987,3573 is 1.
Lets's calculate GCF of 7987,3573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7987,3573 By Matching Biggest Common Factor Method
Now, list down the factors of 7987
:1,7,49,163,1141,7987
Now, list down the factors of 3573
:1,3,9,397,1191,3573
Greatest Common Factor
We found the factors 7987,3573 . The biggest common factor number is the GCF number.
So the greatest common factor 7987,3573 is 1.
Lets's calculate LCM of 382,8478
| 2 | 382, 8478 |
| 191, 4239 |
∴ So the LCM of the given numbers is 2 x 191 x 4239 = 1619298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1619298
Therefore, the GCF of Fractions 7987/382,3573/8478 is 1/1619298
Least Common Multiple of 382,8478 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 382,8478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,8478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,8478) x common factors =2 x 1 = 2
LCM(382,8478) = ( 382 × 8478 ) / 2
LCM(382,8478) = 3238596 / 2
LCM(382,8478) = 1619298
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FAQs on GCF of Fractions of 7987/382, 3573/8478
1. What is the HCF of 7987,3573?
The HCF of 7987,3573 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 7987/382, 3573/8478?
Answer: GCF of Numerators as per given numbers 7987/382, 3573/8478 is
GCF of Numerators i.e. for 7987,3573 is 1
LCM of denominators i.e. for 382,8478 is 1619298.
Thus, GCF of Fractions is 1/1619298.Finally, GCF of Fractions for 7987/382, 3573/8478 is 1/1619298.