GCF of 5074/630, 5372/6468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5074/630, 5372/6468 i.e 2/97020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5074/630, 5372/6468.
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 5074/630,5372/6468?
Given fractions are 5074/630,5372/6468
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 5074/630,5372/6468, numerators are 5074,5372
Denominators are 630,6468
The GCF of 5074,5372 is 2 .
LCM of 630,6468 is 97020.
The greatest common factor of 5074/630,5372/6468 = [GCF of 5074,5372]/[LCM of 630,6468]= 2/97020
Therefore, the GCF of 5074/630,5372/6468 is 2/97020.
To find the highest common factor of 5074,5372, we have to find the factors of both numbers and list the highest common factor.
The factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074
The factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372
The HCF of 5074,5372 is 2.
Lets's calculate GCF of 5074,5372
| 2 | 5074, 5372 |
| 2537, 2686 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5074,5372 By Matching Biggest Common Factor Method
Now, list down the factors of 5074
:1,2,43,59,86,118,2537,5074
Now, list down the factors of 5372
:1,2,4,17,34,68,79,158,316,1343,2686,5372
Greatest Common Factor
We found the factors 5074,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 5074,5372 is 2.
Lets's calculate LCM of 630,6468
| 2 | 630, 6468 |
| 3 | 315, 3234 |
| 7 | 105, 1078 |
| 15, 154 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 15 x 154 = 97020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97020
Therefore, the GCF of Fractions 5074/630,5372/6468 is 2/97020
Least Common Multiple of 630,6468 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 630,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,6468) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(630,6468) x common factors =42 x 1 = 42
LCM(630,6468) = ( 630 × 6468 ) / 42
LCM(630,6468) = 4074840 / 42
LCM(630,6468) = 97020
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FAQs on GCF of Fractions of 5074/630, 5372/6468
1. What is the HCF of 5074,5372?
The HCF of 5074,5372 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 5074/630, 5372/6468?
Answer: GCF of Numerators as per given numbers 5074/630, 5372/6468 is
GCF of Numerators i.e. for 5074,5372 is 2
LCM of denominators i.e. for 630,6468 is 97020.
Thus, GCF of Fractions is 2/97020.Finally, GCF of Fractions for 5074/630, 5372/6468 is 2/97020.