GCF of 750/141, 7008/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 750/141, 7008/289 i.e 6/40749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 750/141, 7008/289.
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 750/141,7008/289?
Given fractions are 750/141,7008/289
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 750/141,7008/289, numerators are 750,7008
Denominators are 141,289
The GCF of 750,7008 is 6 .
LCM of 141,289 is 40749.
The greatest common factor of 750/141,7008/289 = [GCF of 750,7008]/[LCM of 141,289]= 6/40749
Therefore, the GCF of 750/141,7008/289 is 6/40749.
To find the highest common factor of 750,7008, we have to find the factors of both numbers and list the highest common factor.
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The HCF of 750,7008 is 6.
Lets's calculate GCF of 750,7008
| 2 | 750, 7008 |
| 3 | 375, 3504 |
| 125, 1168 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 750,7008 By Matching Biggest Common Factor Method
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Greatest Common Factor
We found the factors 750,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 750,7008 is 6.
Lets's calculate LCM of 141,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 40749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/40749
Therefore, the GCF of Fractions 750/141,7008/289 is 6/40749
Least Common Multiple of 141,289 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 141,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,289) x common factors =1 x 1 = 1
LCM(141,289) = ( 141 × 289 ) / 1
LCM(141,289) = 40749 / 1
LCM(141,289) = 40749
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FAQs on GCF of Fractions of 750/141, 7008/289
1. What is the HCF of 750,7008?
The HCF of 750,7008 is 6
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 750/141, 7008/289?
Answer: GCF of Numerators as per given numbers 750/141, 7008/289 is
GCF of Numerators i.e. for 750,7008 is 6
LCM of denominators i.e. for 141,289 is 40749.
Thus, GCF of Fractions is 6/40749.Finally, GCF of Fractions for 750/141, 7008/289 is 6/40749.