GCF of 2227/224, 7420/8370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2227/224, 7420/8370 i.e 1/937440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2227/224, 7420/8370.
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 2227/224,7420/8370?
Given fractions are 2227/224,7420/8370
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 2227/224,7420/8370, numerators are 2227,7420
Denominators are 224,8370
The GCF of 2227,7420 is 1 .
LCM of 224,8370 is 937440.
The greatest common factor of 2227/224,7420/8370 = [GCF of 2227,7420]/[LCM of 224,8370]= 1/937440
Therefore, the GCF of 2227/224,7420/8370 is 1/937440.
To find the highest common factor of 2227,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 2227 are 1, 17, 131, 2227
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 2227,7420 is 1.
Lets's calculate GCF of 2227,7420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2227,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 2227
:1,17,131,2227
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 2227,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 2227,7420 is 1.
Lets's calculate LCM of 224,8370
| 2 | 224, 8370 |
| 112, 4185 |
∴ So the LCM of the given numbers is 2 x 112 x 4185 = 937440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/937440
Therefore, the GCF of Fractions 2227/224,7420/8370 is 1/937440
Least Common Multiple of 224,8370 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 224,8370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,8370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,8370) x common factors =2 x 1 = 2
LCM(224,8370) = ( 224 × 8370 ) / 2
LCM(224,8370) = 1874880 / 2
LCM(224,8370) = 937440
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FAQs on GCF of Fractions of 2227/224, 7420/8370
1. What is the HCF of 2227,7420?
The HCF of 2227,7420 is 1
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 2227/224, 7420/8370?
Answer: GCF of Numerators as per given numbers 2227/224, 7420/8370 is
GCF of Numerators i.e. for 2227,7420 is 1
LCM of denominators i.e. for 224,8370 is 937440.
Thus, GCF of Fractions is 1/937440.Finally, GCF of Fractions for 2227/224, 7420/8370 is 1/937440.