GCF of 7436/242, 6282/7236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7436/242, 6282/7236 i.e 2/875556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7436/242, 6282/7236.
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 7436/242,6282/7236?
Given fractions are 7436/242,6282/7236
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 7436/242,6282/7236, numerators are 7436,6282
Denominators are 242,7236
The GCF of 7436,6282 is 2 .
LCM of 242,7236 is 875556.
The greatest common factor of 7436/242,6282/7236 = [GCF of 7436,6282]/[LCM of 242,7236]= 2/875556
Therefore, the GCF of 7436/242,6282/7236 is 2/875556.
To find the highest common factor of 7436,6282, we have to find the factors of both numbers and list the highest common factor.
The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436
The factors of 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282
The HCF of 7436,6282 is 2.
Lets's calculate GCF of 7436,6282
| 2 | 7436, 6282 |
| 3718, 3141 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7436,6282 By Matching Biggest Common Factor Method
Now, list down the factors of 7436
:1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436
Now, list down the factors of 6282
:1,2,3,6,9,18,349,698,1047,2094,3141,6282
Greatest Common Factor
We found the factors 7436,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,6282 is 2.
Lets's calculate LCM of 242,7236
| 2 | 242, 7236 |
| 121, 3618 |
∴ So the LCM of the given numbers is 2 x 121 x 3618 = 875556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/875556
Therefore, the GCF of Fractions 7436/242,6282/7236 is 2/875556
Least Common Multiple of 242,7236 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 242,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,7236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,7236) x common factors =2 x 1 = 2
LCM(242,7236) = ( 242 × 7236 ) / 2
LCM(242,7236) = 1751112 / 2
LCM(242,7236) = 875556
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FAQs on GCF of Fractions of 7436/242, 6282/7236
1. What is the HCF of 7436,6282?
The HCF of 7436,6282 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 7436/242, 6282/7236?
Answer: GCF of Numerators as per given numbers 7436/242, 6282/7236 is
GCF of Numerators i.e. for 7436,6282 is 2
LCM of denominators i.e. for 242,7236 is 875556.
Thus, GCF of Fractions is 2/875556.Finally, GCF of Fractions for 7436/242, 6282/7236 is 2/875556.