GCF of 7436/554, 4940/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7436/554, 4940/741 i.e 52/410514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7436/554, 4940/741.
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 7436/554,4940/741?
Given fractions are 7436/554,4940/741
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 7436/554,4940/741, numerators are 7436,4940
Denominators are 554,741
The GCF of 7436,4940 is 52 .
LCM of 554,741 is 410514.
The greatest common factor of 7436/554,4940/741 = [GCF of 7436,4940]/[LCM of 554,741]= 52/410514
Therefore, the GCF of 7436/554,4940/741 is 52/410514.
To find the highest common factor of 7436,4940, 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 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
The HCF of 7436,4940 is 52.
Lets's calculate GCF of 7436,4940
| 2 | 7436, 4940 |
| 2 | 3718, 2470 |
| 13 | 1859, 1235 |
| 143, 95 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 7436,4940 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 4940
:1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Greatest Common Factor
We found the factors 7436,4940 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,4940 is 52.
Lets's calculate LCM of 554,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 410514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/410514
Therefore, the GCF of Fractions 7436/554,4940/741 is 52/410514
Least Common Multiple of 554,741 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 554,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,741) x common factors =1 x 1 = 1
LCM(554,741) = ( 554 × 741 ) / 1
LCM(554,741) = 410514 / 1
LCM(554,741) = 410514
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FAQs on GCF of Fractions of 7436/554, 4940/741
1. What is the HCF of 7436,4940?
The HCF of 7436,4940 is 52
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 7436/554, 4940/741?
Answer: GCF of Numerators as per given numbers 7436/554, 4940/741 is
GCF of Numerators i.e. for 7436,4940 is 52
LCM of denominators i.e. for 554,741 is 410514.
Thus, GCF of Fractions is 52/410514.Finally, GCF of Fractions for 7436/554, 4940/741 is 52/410514.