GCF of 7412/316, 8130/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7412/316, 8130/297 i.e 2/93852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7412/316, 8130/297.
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 7412/316,8130/297?
Given fractions are 7412/316,8130/297
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 7412/316,8130/297, numerators are 7412,8130
Denominators are 316,297
The GCF of 7412,8130 is 2 .
LCM of 316,297 is 93852.
The greatest common factor of 7412/316,8130/297 = [GCF of 7412,8130]/[LCM of 316,297]= 2/93852
Therefore, the GCF of 7412/316,8130/297 is 2/93852.
To find the highest common factor of 7412,8130, we have to find the factors of both numbers and list the highest common factor.
The factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412
The factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130
The HCF of 7412,8130 is 2.
Lets's calculate GCF of 7412,8130
| 2 | 7412, 8130 |
| 3706, 4065 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7412,8130 By Matching Biggest Common Factor Method
Now, list down the factors of 7412
:1,2,4,17,34,68,109,218,436,1853,3706,7412
Now, list down the factors of 8130
:1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130
Greatest Common Factor
We found the factors 7412,8130 . The biggest common factor number is the GCF number.
So the greatest common factor 7412,8130 is 2.
Lets's calculate LCM of 316,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 93852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93852
Therefore, the GCF of Fractions 7412/316,8130/297 is 2/93852
Least Common Multiple of 316,297 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 316,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,297) x common factors =1 x 1 = 1
LCM(316,297) = ( 316 × 297 ) / 1
LCM(316,297) = 93852 / 1
LCM(316,297) = 93852
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FAQs on GCF of Fractions of 7412/316, 8130/297
1. What is the HCF of 7412,8130?
The HCF of 7412,8130 is 2
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 7412/316, 8130/297?
Answer: GCF of Numerators as per given numbers 7412/316, 8130/297 is
GCF of Numerators i.e. for 7412,8130 is 2
LCM of denominators i.e. for 316,297 is 93852.
Thus, GCF of Fractions is 2/93852.Finally, GCF of Fractions for 7412/316, 8130/297 is 2/93852.