GCF of 5126/565, 7862/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5126/565, 7862/237 i.e 2/133905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5126/565, 7862/237.
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 5126/565,7862/237?
Given fractions are 5126/565,7862/237
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 5126/565,7862/237, numerators are 5126,7862
Denominators are 565,237
The GCF of 5126,7862 is 2 .
LCM of 565,237 is 133905.
The greatest common factor of 5126/565,7862/237 = [GCF of 5126,7862]/[LCM of 565,237]= 2/133905
Therefore, the GCF of 5126/565,7862/237 is 2/133905.
To find the highest common factor of 5126,7862, we have to find the factors of both numbers and list the highest common factor.
The factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126
The factors of 7862 are 1, 2, 3931, 7862
The HCF of 5126,7862 is 2.
Lets's calculate GCF of 5126,7862
| 2 | 5126, 7862 |
| 2563, 3931 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5126,7862 By Matching Biggest Common Factor Method
Now, list down the factors of 5126
:1,2,11,22,233,466,2563,5126
Now, list down the factors of 7862
:1,2,3931,7862
Greatest Common Factor
We found the factors 5126,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 5126,7862 is 2.
Lets's calculate LCM of 565,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 133905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133905
Therefore, the GCF of Fractions 5126/565,7862/237 is 2/133905
Least Common Multiple of 565,237 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 565,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,237) x common factors =1 x 1 = 1
LCM(565,237) = ( 565 × 237 ) / 1
LCM(565,237) = 133905 / 1
LCM(565,237) = 133905
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FAQs on GCF of Fractions of 5126/565, 7862/237
1. What is the HCF of 5126,7862?
The HCF of 5126,7862 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 5126/565, 7862/237?
Answer: GCF of Numerators as per given numbers 5126/565, 7862/237 is
GCF of Numerators i.e. for 5126,7862 is 2
LCM of denominators i.e. for 565,237 is 133905.
Thus, GCF of Fractions is 2/133905.Finally, GCF of Fractions for 5126/565, 7862/237 is 2/133905.