GCF of 112/235, 4270/5875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 112/235, 4270/5875 i.e 14/5875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 112/235, 4270/5875.
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 112/235,4270/5875?
Given fractions are 112/235,4270/5875
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 112/235,4270/5875, numerators are 112,4270
Denominators are 235,5875
The GCF of 112,4270 is 14 .
LCM of 235,5875 is 5875.
The greatest common factor of 112/235,4270/5875 = [GCF of 112,4270]/[LCM of 235,5875]= 14/5875
Therefore, the GCF of 112/235,4270/5875 is 14/5875.
To find the highest common factor of 112,4270, we have to find the factors of both numbers and list the highest common factor.
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270
The HCF of 112,4270 is 14.
Lets's calculate GCF of 112,4270
| 2 | 112, 4270 |
| 7 | 56, 2135 |
| 8, 305 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 112,4270 By Matching Biggest Common Factor Method
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Now, list down the factors of 4270
:1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270
Greatest Common Factor
We found the factors 112,4270 . The biggest common factor number is the GCF number.
So the greatest common factor 112,4270 is 14.
Lets's calculate LCM of 235,5875
| 5 | 235, 5875 |
| 47 | 47, 1175 |
| 1, 25 |
∴ So the LCM of the given numbers is 5 x 47 x 1 x 25 = 5875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5875
Therefore, the GCF of Fractions 112/235,4270/5875 is 14/5875
Least Common Multiple of 235,5875 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 235,5875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,5875) = 235
common factors(in case of two or more numbers have common factors) = 1
GCF(235,5875) x common factors =235 x 1 = 235
LCM(235,5875) = ( 235 × 5875 ) / 235
LCM(235,5875) = 1380625 / 235
LCM(235,5875) = 5875
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FAQs on GCF of Fractions of 112/235, 4270/5875
1. What is the HCF of 112,4270?
The HCF of 112,4270 is 14
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 112/235, 4270/5875?
Answer: GCF of Numerators as per given numbers 112/235, 4270/5875 is
GCF of Numerators i.e. for 112,4270 is 14
LCM of denominators i.e. for 235,5875 is 5875.
Thus, GCF of Fractions is 14/5875.Finally, GCF of Fractions for 112/235, 4270/5875 is 14/5875.