GCF of 7150/684, 3136/3137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7150/684, 3136/3137 i.e 2/2145708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7150/684, 3136/3137.
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 7150/684,3136/3137?
Given fractions are 7150/684,3136/3137
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 7150/684,3136/3137, numerators are 7150,3136
Denominators are 684,3137
The GCF of 7150,3136 is 2 .
LCM of 684,3137 is 2145708.
The greatest common factor of 7150/684,3136/3137 = [GCF of 7150,3136]/[LCM of 684,3137]= 2/2145708
Therefore, the GCF of 7150/684,3136/3137 is 2/2145708.
To find the highest common factor of 7150,3136, we have to find the factors of both numbers and list the highest common factor.
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The HCF of 7150,3136 is 2.
Lets's calculate GCF of 7150,3136
| 2 | 7150, 3136 |
| 3575, 1568 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7150,3136 By Matching Biggest Common Factor Method
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Greatest Common Factor
We found the factors 7150,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,3136 is 2.
Lets's calculate LCM of 684,3137
Given numbers has no common factors except 1. So, there LCM is their product i.e 2145708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2145708
Therefore, the GCF of Fractions 7150/684,3136/3137 is 2/2145708
Least Common Multiple of 684,3137 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 684,3137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,3137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,3137) x common factors =1 x 1 = 1
LCM(684,3137) = ( 684 × 3137 ) / 1
LCM(684,3137) = 2145708 / 1
LCM(684,3137) = 2145708
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FAQs on GCF of Fractions of 7150/684, 3136/3137
1. What is the HCF of 7150,3136?
The HCF of 7150,3136 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 7150/684, 3136/3137?
Answer: GCF of Numerators as per given numbers 7150/684, 3136/3137 is
GCF of Numerators i.e. for 7150,3136 is 2
LCM of denominators i.e. for 684,3137 is 2145708.
Thus, GCF of Fractions is 2/2145708.Finally, GCF of Fractions for 7150/684, 3136/3137 is 2/2145708.