GCF of 7416/340, 1294/3272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7416/340, 1294/3272 i.e 2/278120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7416/340, 1294/3272.
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 7416/340,1294/3272?
Given fractions are 7416/340,1294/3272
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 7416/340,1294/3272, numerators are 7416,1294
Denominators are 340,3272
The GCF of 7416,1294 is 2 .
LCM of 340,3272 is 278120.
The greatest common factor of 7416/340,1294/3272 = [GCF of 7416,1294]/[LCM of 340,3272]= 2/278120
Therefore, the GCF of 7416/340,1294/3272 is 2/278120.
To find the highest common factor of 7416,1294, we have to find the factors of both numbers and list the highest common factor.
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The factors of 1294 are 1, 2, 647, 1294
The HCF of 7416,1294 is 2.
Lets's calculate GCF of 7416,1294
| 2 | 7416, 1294 |
| 3708, 647 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7416,1294 By Matching Biggest Common Factor Method
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Now, list down the factors of 1294
:1,2,647,1294
Greatest Common Factor
We found the factors 7416,1294 . The biggest common factor number is the GCF number.
So the greatest common factor 7416,1294 is 2.
Lets's calculate LCM of 340,3272
| 2 | 340, 3272 |
| 2 | 170, 1636 |
| 85, 818 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 818 = 278120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278120
Therefore, the GCF of Fractions 7416/340,1294/3272 is 2/278120
Least Common Multiple of 340,3272 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 340,3272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,3272) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(340,3272) x common factors =4 x 1 = 4
LCM(340,3272) = ( 340 × 3272 ) / 4
LCM(340,3272) = 1112480 / 4
LCM(340,3272) = 278120
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FAQs on GCF of Fractions of 7416/340, 1294/3272
1. What is the HCF of 7416,1294?
The HCF of 7416,1294 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 7416/340, 1294/3272?
Answer: GCF of Numerators as per given numbers 7416/340, 1294/3272 is
GCF of Numerators i.e. for 7416,1294 is 2
LCM of denominators i.e. for 340,3272 is 278120.
Thus, GCF of Fractions is 2/278120.Finally, GCF of Fractions for 7416/340, 1294/3272 is 2/278120.