GCF of 70/74, 518/41, 392/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/74, 518/41, 392/634 i.e 14/961778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/74, 518/41, 392/634.
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 70/74,518/41,392/634?
Given fractions are 70/74,518/41,392/634
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 70/74,518/41,392/634, numerators are 70,518,392
Denominators are 74,41,634
The GCF of 70,518,392 is 14 .
LCM of 74,41,634 is 961778.
The greatest common factor of 70/74,518/41,392/634 = [GCF of 70,518,392]/[LCM of 74,41,634]= 14/961778
Therefore, the GCF of 70/74,518/41,392/634 is 14/961778.
To find the highest common factor of 70,518,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 70,518,392 is 14.
Lets's calculate GCF of 70,518,392
| 2 | 70, 518, 392 |
| 7 | 35, 259, 196 |
| 5, 37, 28 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 70,518,392 By Matching Biggest Common Factor Method
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 70,518,392 . The biggest common factor number is the GCF number.
So the greatest common factor 70,518,392 is 14.
Lets's calculate LCM of 74,41,634
| 2 | 74, 41, 634 |
| 37, 41, 317 |
∴ So the LCM of the given numbers is 2 x 37 x 41 x 317 = 961778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/961778
Therefore, the GCF of Fractions 70/74,518/41,392/634 is 14/961778
Least Common Multiple of 74,41,634 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 74,41,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,41,634) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,41,634) x common factors =1 x 2 = 2
LCM(74,41,634) = ( 74 × 41 × 634 ) / 2
LCM(74,41,634) = 1923556 / 2
LCM(74,41,634) = 961778
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FAQs on GCF of Fractions of 70/74, 518/41, 392/634
1. What is the HCF of 70,518,392?
The HCF of 70,518,392 is 14
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 70/74, 518/41, 392/634?
Answer: GCF of Numerators as per given numbers 70/74, 518/41, 392/634 is
GCF of Numerators i.e. for 70,518,392 is 14
LCM of denominators i.e. for 74,41,634 is 961778.
Thus, GCF of Fractions is 14/961778.Finally, GCF of Fractions for 70/74, 518/41, 392/634 is 14/961778.