GCF of 4330/654, 7426/556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4330/654, 7426/556 i.e 2/181812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4330/654, 7426/556.
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 4330/654,7426/556?
Given fractions are 4330/654,7426/556
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 4330/654,7426/556, numerators are 4330,7426
Denominators are 654,556
The GCF of 4330,7426 is 2 .
LCM of 654,556 is 181812.
The greatest common factor of 4330/654,7426/556 = [GCF of 4330,7426]/[LCM of 654,556]= 2/181812
Therefore, the GCF of 4330/654,7426/556 is 2/181812.
To find the highest common factor of 4330,7426, we have to find the factors of both numbers and list the highest common factor.
The factors of 4330 are 1, 2, 5, 10, 433, 866, 2165, 4330
The factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426
The HCF of 4330,7426 is 2.
Lets's calculate GCF of 4330,7426
| 2 | 4330, 7426 |
| 2165, 3713 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4330,7426 By Matching Biggest Common Factor Method
Now, list down the factors of 4330
:1,2,5,10,433,866,2165,4330
Now, list down the factors of 7426
:1,2,47,79,94,158,3713,7426
Greatest Common Factor
We found the factors 4330,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 4330,7426 is 2.
Lets's calculate LCM of 654,556
| 2 | 654, 556 |
| 327, 278 |
∴ So the LCM of the given numbers is 2 x 327 x 278 = 181812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181812
Therefore, the GCF of Fractions 4330/654,7426/556 is 2/181812
Least Common Multiple of 654,556 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 654,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,556) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,556) x common factors =2 x 1 = 2
LCM(654,556) = ( 654 × 556 ) / 2
LCM(654,556) = 363624 / 2
LCM(654,556) = 181812
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FAQs on GCF of Fractions of 4330/654, 7426/556
1. What is the HCF of 4330,7426?
The HCF of 4330,7426 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 4330/654, 7426/556?
Answer: GCF of Numerators as per given numbers 4330/654, 7426/556 is
GCF of Numerators i.e. for 4330,7426 is 2
LCM of denominators i.e. for 654,556 is 181812.
Thus, GCF of Fractions is 2/181812.Finally, GCF of Fractions for 4330/654, 7426/556 is 2/181812.