GCF of 5262/138, 7407/3886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5262/138, 7407/3886 i.e 3/268134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5262/138, 7407/3886.
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 5262/138,7407/3886?
Given fractions are 5262/138,7407/3886
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 5262/138,7407/3886, numerators are 5262,7407
Denominators are 138,3886
The GCF of 5262,7407 is 3 .
LCM of 138,3886 is 268134.
The greatest common factor of 5262/138,7407/3886 = [GCF of 5262,7407]/[LCM of 138,3886]= 3/268134
Therefore, the GCF of 5262/138,7407/3886 is 3/268134.
To find the highest common factor of 5262,7407, we have to find the factors of both numbers and list the highest common factor.
The factors of 5262 are 1, 2, 3, 6, 877, 1754, 2631, 5262
The factors of 7407 are 1, 3, 9, 823, 2469, 7407
The HCF of 5262,7407 is 3.
Lets's calculate GCF of 5262,7407
| 3 | 5262, 7407 |
| 1754, 2469 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5262,7407 By Matching Biggest Common Factor Method
Now, list down the factors of 5262
:1,2,3,6,877,1754,2631,5262
Now, list down the factors of 7407
:1,3,9,823,2469,7407
Greatest Common Factor
We found the factors 5262,7407 . The biggest common factor number is the GCF number.
So the greatest common factor 5262,7407 is 3.
Lets's calculate LCM of 138,3886
| 2 | 138, 3886 |
| 69, 1943 |
∴ So the LCM of the given numbers is 2 x 69 x 1943 = 268134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/268134
Therefore, the GCF of Fractions 5262/138,7407/3886 is 3/268134
Least Common Multiple of 138,3886 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 138,3886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,3886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,3886) x common factors =2 x 1 = 2
LCM(138,3886) = ( 138 × 3886 ) / 2
LCM(138,3886) = 536268 / 2
LCM(138,3886) = 268134
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FAQs on GCF of Fractions of 5262/138, 7407/3886
1. What is the HCF of 5262,7407?
The HCF of 5262,7407 is 3
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 5262/138, 7407/3886?
Answer: GCF of Numerators as per given numbers 5262/138, 7407/3886 is
GCF of Numerators i.e. for 5262,7407 is 3
LCM of denominators i.e. for 138,3886 is 268134.
Thus, GCF of Fractions is 3/268134.Finally, GCF of Fractions for 5262/138, 7407/3886 is 3/268134.