GCF of 94/712, 510/468, 414/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/712, 510/468, 414/891 i.e 2/8247096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/712, 510/468, 414/891.
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 94/712,510/468,414/891?
Given fractions are 94/712,510/468,414/891
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 94/712,510/468,414/891, numerators are 94,510,414
Denominators are 712,468,891
The GCF of 94,510,414 is 2 .
LCM of 712,468,891 is 8247096.
The greatest common factor of 94/712,510/468,414/891 = [GCF of 94,510,414]/[LCM of 712,468,891]= 2/8247096
Therefore, the GCF of 94/712,510/468,414/891 is 2/8247096.
To find the highest common factor of 94,510,414, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The HCF of 94,510,414 is 2.
Lets's calculate GCF of 94,510,414
| 2 | 94, 510, 414 |
| 47, 255, 207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 94,510,414 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 94,510,414 . The biggest common factor number is the GCF number.
So the greatest common factor 94,510,414 is 2.
Lets's calculate LCM of 712,468,891
| 2 | 712, 468, 891 |
| 2 | 356, 234, 891 |
| 3 | 178, 117, 891 |
| 3 | 178, 39, 297 |
| 178, 13, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 178 x 13 x 99 = 8247096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8247096
Therefore, the GCF of Fractions 94/712,510/468,414/891 is 2/8247096
Least Common Multiple of 712,468,891 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 712,468,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,468,891) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(712,468,891) x common factors =1 x 36 = 36
LCM(712,468,891) = ( 712 × 468 × 891 ) / 36
LCM(712,468,891) = 296895456 / 36
LCM(712,468,891) = 8247096
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FAQs on GCF of Fractions of 94/712, 510/468, 414/891
1. What is the HCF of 94,510,414?
The HCF of 94,510,414 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 94/712, 510/468, 414/891?
Answer: GCF of Numerators as per given numbers 94/712, 510/468, 414/891 is
GCF of Numerators i.e. for 94,510,414 is 2
LCM of denominators i.e. for 712,468,891 is 8247096.
Thus, GCF of Fractions is 2/8247096.Finally, GCF of Fractions for 94/712, 510/468, 414/891 is 2/8247096.