GCF of 430/626, 5778/278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/626, 5778/278 i.e 2/87014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/626, 5778/278.
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 430/626,5778/278?
Given fractions are 430/626,5778/278
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 430/626,5778/278, numerators are 430,5778
Denominators are 626,278
The GCF of 430,5778 is 2 .
LCM of 626,278 is 87014.
The greatest common factor of 430/626,5778/278 = [GCF of 430,5778]/[LCM of 626,278]= 2/87014
Therefore, the GCF of 430/626,5778/278 is 2/87014.
To find the highest common factor of 430,5778, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The HCF of 430,5778 is 2.
Lets's calculate GCF of 430,5778
| 2 | 430, 5778 |
| 215, 2889 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 430,5778 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Greatest Common Factor
We found the factors 430,5778 . The biggest common factor number is the GCF number.
So the greatest common factor 430,5778 is 2.
Lets's calculate LCM of 626,278
| 2 | 626, 278 |
| 313, 139 |
∴ So the LCM of the given numbers is 2 x 313 x 139 = 87014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87014
Therefore, the GCF of Fractions 430/626,5778/278 is 2/87014
Least Common Multiple of 626,278 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 626,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,278) x common factors =2 x 1 = 2
LCM(626,278) = ( 626 × 278 ) / 2
LCM(626,278) = 174028 / 2
LCM(626,278) = 87014
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FAQs on GCF of Fractions of 430/626, 5778/278
1. What is the HCF of 430,5778?
The HCF of 430,5778 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 430/626, 5778/278?
Answer: GCF of Numerators as per given numbers 430/626, 5778/278 is
GCF of Numerators i.e. for 430,5778 is 2
LCM of denominators i.e. for 626,278 is 87014.
Thus, GCF of Fractions is 2/87014.Finally, GCF of Fractions for 430/626, 5778/278 is 2/87014.