GCF of 1112/750, 3956/2053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1112/750, 3956/2053 i.e 4/1539750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1112/750, 3956/2053.
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 1112/750,3956/2053?
Given fractions are 1112/750,3956/2053
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 1112/750,3956/2053, numerators are 1112,3956
Denominators are 750,2053
The GCF of 1112,3956 is 4 .
LCM of 750,2053 is 1539750.
The greatest common factor of 1112/750,3956/2053 = [GCF of 1112,3956]/[LCM of 750,2053]= 4/1539750
Therefore, the GCF of 1112/750,3956/2053 is 4/1539750.
To find the highest common factor of 1112,3956, we have to find the factors of both numbers and list the highest common factor.
The factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112
The factors of 3956 are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956
The HCF of 1112,3956 is 4.
Lets's calculate GCF of 1112,3956
| 2 | 1112, 3956 |
| 2 | 556, 1978 |
| 278, 989 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1112,3956 By Matching Biggest Common Factor Method
Now, list down the factors of 1112
:1,2,4,8,139,278,556,1112
Now, list down the factors of 3956
:1,2,4,23,43,46,86,92,172,989,1978,3956
Greatest Common Factor
We found the factors 1112,3956 . The biggest common factor number is the GCF number.
So the greatest common factor 1112,3956 is 4.
Lets's calculate LCM of 750,2053
Given numbers has no common factors except 1. So, there LCM is their product i.e 1539750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1539750
Therefore, the GCF of Fractions 1112/750,3956/2053 is 4/1539750
Least Common Multiple of 750,2053 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 750,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,2053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,2053) x common factors =1 x 1 = 1
LCM(750,2053) = ( 750 × 2053 ) / 1
LCM(750,2053) = 1539750 / 1
LCM(750,2053) = 1539750
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FAQs on GCF of Fractions of 1112/750, 3956/2053
1. What is the HCF of 1112,3956?
The HCF of 1112,3956 is 4
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 1112/750, 3956/2053?
Answer: GCF of Numerators as per given numbers 1112/750, 3956/2053 is
GCF of Numerators i.e. for 1112,3956 is 4
LCM of denominators i.e. for 750,2053 is 1539750.
Thus, GCF of Fractions is 4/1539750.Finally, GCF of Fractions for 1112/750, 3956/2053 is 4/1539750.