GCF of 5274/121, 1990/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5274/121, 1990/782 i.e 2/94622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5274/121, 1990/782.
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 5274/121,1990/782?
Given fractions are 5274/121,1990/782
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 5274/121,1990/782, numerators are 5274,1990
Denominators are 121,782
The GCF of 5274,1990 is 2 .
LCM of 121,782 is 94622.
The greatest common factor of 5274/121,1990/782 = [GCF of 5274,1990]/[LCM of 121,782]= 2/94622
Therefore, the GCF of 5274/121,1990/782 is 2/94622.
To find the highest common factor of 5274,1990, we have to find the factors of both numbers and list the highest common factor.
The factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The HCF of 5274,1990 is 2.
Lets's calculate GCF of 5274,1990
| 2 | 5274, 1990 |
| 2637, 995 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5274,1990 By Matching Biggest Common Factor Method
Now, list down the factors of 5274
:1,2,3,6,9,18,293,586,879,1758,2637,5274
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Greatest Common Factor
We found the factors 5274,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 5274,1990 is 2.
Lets's calculate LCM of 121,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 94622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94622
Therefore, the GCF of Fractions 5274/121,1990/782 is 2/94622
Least Common Multiple of 121,782 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 121,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,782) x common factors =1 x 1 = 1
LCM(121,782) = ( 121 × 782 ) / 1
LCM(121,782) = 94622 / 1
LCM(121,782) = 94622
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FAQs on GCF of Fractions of 5274/121, 1990/782
1. What is the HCF of 5274,1990?
The HCF of 5274,1990 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 5274/121, 1990/782?
Answer: GCF of Numerators as per given numbers 5274/121, 1990/782 is
GCF of Numerators i.e. for 5274,1990 is 2
LCM of denominators i.e. for 121,782 is 94622.
Thus, GCF of Fractions is 2/94622.Finally, GCF of Fractions for 5274/121, 1990/782 is 2/94622.