GCF of 2092/298, 7420/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2092/298, 7420/267 i.e 4/79566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2092/298, 7420/267.
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 2092/298,7420/267?
Given fractions are 2092/298,7420/267
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 2092/298,7420/267, numerators are 2092,7420
Denominators are 298,267
The GCF of 2092,7420 is 4 .
LCM of 298,267 is 79566.
The greatest common factor of 2092/298,7420/267 = [GCF of 2092,7420]/[LCM of 298,267]= 4/79566
Therefore, the GCF of 2092/298,7420/267 is 4/79566.
To find the highest common factor of 2092,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 2092 are 1, 2, 4, 523, 1046, 2092
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The HCF of 2092,7420 is 4.
Lets's calculate GCF of 2092,7420
| 2 | 2092, 7420 |
| 2 | 1046, 3710 |
| 523, 1855 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2092,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 2092
:1,2,4,523,1046,2092
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Greatest Common Factor
We found the factors 2092,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 2092,7420 is 4.
Lets's calculate LCM of 298,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 79566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/79566
Therefore, the GCF of Fractions 2092/298,7420/267 is 4/79566
Least Common Multiple of 298,267 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 298,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,267) x common factors =1 x 1 = 1
LCM(298,267) = ( 298 × 267 ) / 1
LCM(298,267) = 79566 / 1
LCM(298,267) = 79566
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FAQs on GCF of Fractions of 2092/298, 7420/267
1. What is the HCF of 2092,7420?
The HCF of 2092,7420 is 4
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 2092/298, 7420/267?
Answer: GCF of Numerators as per given numbers 2092/298, 7420/267 is
GCF of Numerators i.e. for 2092,7420 is 4
LCM of denominators i.e. for 298,267 is 79566.
Thus, GCF of Fractions is 4/79566.Finally, GCF of Fractions for 2092/298, 7420/267 is 4/79566.