GCF of 2210/996, 7476/2080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2210/996, 7476/2080 i.e 2/517920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2210/996, 7476/2080.
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 2210/996,7476/2080?
Given fractions are 2210/996,7476/2080
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 2210/996,7476/2080, numerators are 2210,7476
Denominators are 996,2080
The GCF of 2210,7476 is 2 .
LCM of 996,2080 is 517920.
The greatest common factor of 2210/996,7476/2080 = [GCF of 2210,7476]/[LCM of 996,2080]= 2/517920
Therefore, the GCF of 2210/996,7476/2080 is 2/517920.
To find the highest common factor of 2210,7476, we have to find the factors of both numbers and list the highest common factor.
The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210
The factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476
The HCF of 2210,7476 is 2.
Lets's calculate GCF of 2210,7476
| 2 | 2210, 7476 |
| 1105, 3738 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2210,7476 By Matching Biggest Common Factor Method
Now, list down the factors of 2210
:1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
Now, list down the factors of 7476
:1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476
Greatest Common Factor
We found the factors 2210,7476 . The biggest common factor number is the GCF number.
So the greatest common factor 2210,7476 is 2.
Lets's calculate LCM of 996,2080
| 2 | 996, 2080 |
| 2 | 498, 1040 |
| 249, 520 |
∴ So the LCM of the given numbers is 2 x 2 x 249 x 520 = 517920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/517920
Therefore, the GCF of Fractions 2210/996,7476/2080 is 2/517920
Least Common Multiple of 996,2080 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 996,2080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,2080) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(996,2080) x common factors =4 x 1 = 4
LCM(996,2080) = ( 996 × 2080 ) / 4
LCM(996,2080) = 2071680 / 4
LCM(996,2080) = 517920
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FAQs on GCF of Fractions of 2210/996, 7476/2080
1. What is the HCF of 2210,7476?
The HCF of 2210,7476 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 2210/996, 7476/2080?
Answer: GCF of Numerators as per given numbers 2210/996, 7476/2080 is
GCF of Numerators i.e. for 2210,7476 is 2
LCM of denominators i.e. for 996,2080 is 517920.
Thus, GCF of Fractions is 2/517920.Finally, GCF of Fractions for 2210/996, 7476/2080 is 2/517920.