GCF of 2226/720, 2269/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2226/720, 2269/310 i.e 1/22320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2226/720, 2269/310.
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 2226/720,2269/310?
Given fractions are 2226/720,2269/310
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 2226/720,2269/310, numerators are 2226,2269
Denominators are 720,310
The GCF of 2226,2269 is 1 .
LCM of 720,310 is 22320.
The greatest common factor of 2226/720,2269/310 = [GCF of 2226,2269]/[LCM of 720,310]= 1/22320
Therefore, the GCF of 2226/720,2269/310 is 1/22320.
To find the highest common factor of 2226,2269, we have to find the factors of both numbers and list the highest common factor.
The factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226
The factors of 2269 are 1, 2269
The HCF of 2226,2269 is 1.
Lets's calculate GCF of 2226,2269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2226,2269 By Matching Biggest Common Factor Method
Now, list down the factors of 2226
:1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226
Now, list down the factors of 2269
:1,2269
Greatest Common Factor
We found the factors 2226,2269 . The biggest common factor number is the GCF number.
So the greatest common factor 2226,2269 is 1.
Lets's calculate LCM of 720,310
| 2 | 720, 310 |
| 5 | 360, 155 |
| 72, 31 |
∴ So the LCM of the given numbers is 2 x 5 x 72 x 31 = 22320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22320
Therefore, the GCF of Fractions 2226/720,2269/310 is 1/22320
Least Common Multiple of 720,310 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 720,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,310) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(720,310) x common factors =10 x 1 = 10
LCM(720,310) = ( 720 × 310 ) / 10
LCM(720,310) = 223200 / 10
LCM(720,310) = 22320
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FAQs on GCF of Fractions of 2226/720, 2269/310
1. What is the HCF of 2226,2269?
The HCF of 2226,2269 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 2226/720, 2269/310?
Answer: GCF of Numerators as per given numbers 2226/720, 2269/310 is
GCF of Numerators i.e. for 2226,2269 is 1
LCM of denominators i.e. for 720,310 is 22320.
Thus, GCF of Fractions is 1/22320.Finally, GCF of Fractions for 2226/720, 2269/310 is 1/22320.