GCF of 118/554, 6000/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 118/554, 6000/274 i.e 2/75898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/554, 6000/274.
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 118/554,6000/274?
Given fractions are 118/554,6000/274
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 118/554,6000/274, numerators are 118,6000
Denominators are 554,274
The GCF of 118,6000 is 2 .
LCM of 554,274 is 75898.
The greatest common factor of 118/554,6000/274 = [GCF of 118,6000]/[LCM of 554,274]= 2/75898
Therefore, the GCF of 118/554,6000/274 is 2/75898.
To find the highest common factor of 118,6000, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The HCF of 118,6000 is 2.
Lets's calculate GCF of 118,6000
| 2 | 118, 6000 |
| 59, 3000 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 118,6000 By Matching Biggest Common Factor Method
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Greatest Common Factor
We found the factors 118,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 118,6000 is 2.
Lets's calculate LCM of 554,274
| 2 | 554, 274 |
| 277, 137 |
∴ So the LCM of the given numbers is 2 x 277 x 137 = 75898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75898
Therefore, the GCF of Fractions 118/554,6000/274 is 2/75898
Least Common Multiple of 554,274 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 554,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,274) x common factors =2 x 1 = 2
LCM(554,274) = ( 554 × 274 ) / 2
LCM(554,274) = 151796 / 2
LCM(554,274) = 75898
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FAQs on GCF of Fractions of 118/554, 6000/274
1. What is the HCF of 118,6000?
The HCF of 118,6000 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 118/554, 6000/274?
Answer: GCF of Numerators as per given numbers 118/554, 6000/274 is
GCF of Numerators i.e. for 118,6000 is 2
LCM of denominators i.e. for 554,274 is 75898.
Thus, GCF of Fractions is 2/75898.Finally, GCF of Fractions for 118/554, 6000/274 is 2/75898.