GCF of 236/176, 125/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/176, 125/126 i.e 1/11088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/176, 125/126.
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 236/176,125/126?
Given fractions are 236/176,125/126
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 236/176,125/126, numerators are 236,125
Denominators are 176,126
The GCF of 236,125 is 1 .
LCM of 176,126 is 11088.
The greatest common factor of 236/176,125/126 = [GCF of 236,125]/[LCM of 176,126]= 1/11088
Therefore, the GCF of 236/176,125/126 is 1/11088.
To find the highest common factor of 236,125, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 125 are 1, 5, 25, 125
The HCF of 236,125 is 1.
Lets's calculate GCF of 236,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 236,125 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 125
:1,5,25,125
Greatest Common Factor
We found the factors 236,125 . The biggest common factor number is the GCF number.
So the greatest common factor 236,125 is 1.
Lets's calculate LCM of 176,126
| 2 | 176, 126 |
| 88, 63 |
∴ So the LCM of the given numbers is 2 x 88 x 63 = 11088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11088
Therefore, the GCF of Fractions 236/176,125/126 is 1/11088
Least Common Multiple of 176,126 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 176,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,126) x common factors =2 x 1 = 2
LCM(176,126) = ( 176 × 126 ) / 2
LCM(176,126) = 22176 / 2
LCM(176,126) = 11088
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 236/176, 125/126
1. What is the HCF of 236,125?
The HCF of 236,125 is 1
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 236/176, 125/126?
Answer: GCF of Numerators as per given numbers 236/176, 125/126 is
GCF of Numerators i.e. for 236,125 is 1
LCM of denominators i.e. for 176,126 is 11088.
Thus, GCF of Fractions is 1/11088.Finally, GCF of Fractions for 236/176, 125/126 is 1/11088.