GCF of 7112/376, 4414/3650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7112/376, 4414/3650 i.e 2/686200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7112/376, 4414/3650.
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 7112/376,4414/3650?
Given fractions are 7112/376,4414/3650
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 7112/376,4414/3650, numerators are 7112,4414
Denominators are 376,3650
The GCF of 7112,4414 is 2 .
LCM of 376,3650 is 686200.
The greatest common factor of 7112/376,4414/3650 = [GCF of 7112,4414]/[LCM of 376,3650]= 2/686200
Therefore, the GCF of 7112/376,4414/3650 is 2/686200.
To find the highest common factor of 7112,4414, we have to find the factors of both numbers and list the highest common factor.
The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112
The factors of 4414 are 1, 2, 2207, 4414
The HCF of 7112,4414 is 2.
Lets's calculate GCF of 7112,4414
| 2 | 7112, 4414 |
| 3556, 2207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7112,4414 By Matching Biggest Common Factor Method
Now, list down the factors of 7112
:1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Now, list down the factors of 4414
:1,2,2207,4414
Greatest Common Factor
We found the factors 7112,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 7112,4414 is 2.
Lets's calculate LCM of 376,3650
| 2 | 376, 3650 |
| 188, 1825 |
∴ So the LCM of the given numbers is 2 x 188 x 1825 = 686200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/686200
Therefore, the GCF of Fractions 7112/376,4414/3650 is 2/686200
Least Common Multiple of 376,3650 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 376,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,3650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,3650) x common factors =2 x 1 = 2
LCM(376,3650) = ( 376 × 3650 ) / 2
LCM(376,3650) = 1372400 / 2
LCM(376,3650) = 686200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7112/376, 4414/3650
1. What is the HCF of 7112,4414?
The HCF of 7112,4414 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 7112/376, 4414/3650?
Answer: GCF of Numerators as per given numbers 7112/376, 4414/3650 is
GCF of Numerators i.e. for 7112,4414 is 2
LCM of denominators i.e. for 376,3650 is 686200.
Thus, GCF of Fractions is 2/686200.Finally, GCF of Fractions for 7112/376, 4414/3650 is 2/686200.