GCF of 3022/774, 7500/8301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3022/774, 7500/8301 i.e 2/2141658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3022/774, 7500/8301.
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 3022/774,7500/8301?
Given fractions are 3022/774,7500/8301
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 3022/774,7500/8301, numerators are 3022,7500
Denominators are 774,8301
The GCF of 3022,7500 is 2 .
LCM of 774,8301 is 2141658.
The greatest common factor of 3022/774,7500/8301 = [GCF of 3022,7500]/[LCM of 774,8301]= 2/2141658
Therefore, the GCF of 3022/774,7500/8301 is 2/2141658.
To find the highest common factor of 3022,7500, we have to find the factors of both numbers and list the highest common factor.
The factors of 3022 are 1, 2, 1511, 3022
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500
The HCF of 3022,7500 is 2.
Lets's calculate GCF of 3022,7500
| 2 | 3022, 7500 |
| 1511, 3750 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3022,7500 By Matching Biggest Common Factor Method
Now, list down the factors of 3022
:1,2,1511,3022
Now, list down the factors of 7500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Greatest Common Factor
We found the factors 3022,7500 . The biggest common factor number is the GCF number.
So the greatest common factor 3022,7500 is 2.
Lets's calculate LCM of 774,8301
| 3 | 774, 8301 |
| 258, 2767 |
∴ So the LCM of the given numbers is 3 x 258 x 2767 = 2141658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2141658
Therefore, the GCF of Fractions 3022/774,7500/8301 is 2/2141658
Least Common Multiple of 774,8301 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 774,8301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,8301) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(774,8301) x common factors =3 x 1 = 3
LCM(774,8301) = ( 774 × 8301 ) / 3
LCM(774,8301) = 6424974 / 3
LCM(774,8301) = 2141658
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FAQs on GCF of Fractions of 3022/774, 7500/8301
1. What is the HCF of 3022,7500?
The HCF of 3022,7500 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 3022/774, 7500/8301?
Answer: GCF of Numerators as per given numbers 3022/774, 7500/8301 is
GCF of Numerators i.e. for 3022,7500 is 2
LCM of denominators i.e. for 774,8301 is 2141658.
Thus, GCF of Fractions is 2/2141658.Finally, GCF of Fractions for 3022/774, 7500/8301 is 2/2141658.