GCF of 42/93, 518/61, 630/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 42/93, 518/61, 630/482 i.e 14/2734386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/93, 518/61, 630/482.
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 42/93,518/61,630/482?
Given fractions are 42/93,518/61,630/482
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 42/93,518/61,630/482, numerators are 42,518,630
Denominators are 93,61,482
The GCF of 42,518,630 is 14 .
LCM of 93,61,482 is 2734386.
The greatest common factor of 42/93,518/61,630/482 = [GCF of 42,518,630]/[LCM of 93,61,482]= 14/2734386
Therefore, the GCF of 42/93,518/61,630/482 is 14/2734386.
To find the highest common factor of 42,518,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 42,518,630 is 14.
Lets's calculate GCF of 42,518,630
| 2 | 42, 518, 630 |
| 7 | 21, 259, 315 |
| 3, 37, 45 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 42,518,630 By Matching Biggest Common Factor Method
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 42,518,630 . The biggest common factor number is the GCF number.
So the greatest common factor 42,518,630 is 14.
Lets's calculate LCM of 93,61,482
Given numbers has no common factors except 1. So, there LCM is their product i.e 2734386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2734386
Therefore, the GCF of Fractions 42/93,518/61,630/482 is 14/2734386
Least Common Multiple of 93,61,482 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 93,61,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,61,482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,61,482) x common factors =1 x 1 = 1
LCM(93,61,482) = ( 93 × 61 × 482 ) / 1
LCM(93,61,482) = 2734386 / 1
LCM(93,61,482) = 2734386
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FAQs on GCF of Fractions of 42/93, 518/61, 630/482
1. What is the HCF of 42,518,630?
The HCF of 42,518,630 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 42/93, 518/61, 630/482?
Answer: GCF of Numerators as per given numbers 42/93, 518/61, 630/482 is
GCF of Numerators i.e. for 42,518,630 is 14
LCM of denominators i.e. for 93,61,482 is 2734386.
Thus, GCF of Fractions is 14/2734386.Finally, GCF of Fractions for 42/93, 518/61, 630/482 is 14/2734386.