GCF of 4350/536, 7678/9922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4350/536, 7678/9922 i.e 2/2659096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4350/536, 7678/9922.
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 4350/536,7678/9922?
Given fractions are 4350/536,7678/9922
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 4350/536,7678/9922, numerators are 4350,7678
Denominators are 536,9922
The GCF of 4350,7678 is 2 .
LCM of 536,9922 is 2659096.
The greatest common factor of 4350/536,7678/9922 = [GCF of 4350,7678]/[LCM of 536,9922]= 2/2659096
Therefore, the GCF of 4350/536,7678/9922 is 2/2659096.
To find the highest common factor of 4350,7678, we have to find the factors of both numbers and list the highest common factor.
The factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350
The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678
The HCF of 4350,7678 is 2.
Lets's calculate GCF of 4350,7678
| 2 | 4350, 7678 |
| 2175, 3839 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4350,7678 By Matching Biggest Common Factor Method
Now, list down the factors of 4350
:1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350
Now, list down the factors of 7678
:1,2,11,22,349,698,3839,7678
Greatest Common Factor
We found the factors 4350,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 4350,7678 is 2.
Lets's calculate LCM of 536,9922
| 2 | 536, 9922 |
| 268, 4961 |
∴ So the LCM of the given numbers is 2 x 268 x 4961 = 2659096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2659096
Therefore, the GCF of Fractions 4350/536,7678/9922 is 2/2659096
Least Common Multiple of 536,9922 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 536,9922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,9922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,9922) x common factors =2 x 1 = 2
LCM(536,9922) = ( 536 × 9922 ) / 2
LCM(536,9922) = 5318192 / 2
LCM(536,9922) = 2659096
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FAQs on GCF of Fractions of 4350/536, 7678/9922
1. What is the HCF of 4350,7678?
The HCF of 4350,7678 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 4350/536, 7678/9922?
Answer: GCF of Numerators as per given numbers 4350/536, 7678/9922 is
GCF of Numerators i.e. for 4350,7678 is 2
LCM of denominators i.e. for 536,9922 is 2659096.
Thus, GCF of Fractions is 2/2659096.Finally, GCF of Fractions for 4350/536, 7678/9922 is 2/2659096.