GCF of 2264/390, 4122/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2264/390, 4122/706 i.e 2/137670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2264/390, 4122/706.
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 2264/390,4122/706?
Given fractions are 2264/390,4122/706
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 2264/390,4122/706, numerators are 2264,4122
Denominators are 390,706
The GCF of 2264,4122 is 2 .
LCM of 390,706 is 137670.
The greatest common factor of 2264/390,4122/706 = [GCF of 2264,4122]/[LCM of 390,706]= 2/137670
Therefore, the GCF of 2264/390,4122/706 is 2/137670.
To find the highest common factor of 2264,4122, we have to find the factors of both numbers and list the highest common factor.
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The HCF of 2264,4122 is 2.
Lets's calculate GCF of 2264,4122
| 2 | 2264, 4122 |
| 1132, 2061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2264,4122 By Matching Biggest Common Factor Method
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 2264,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 2264,4122 is 2.
Lets's calculate LCM of 390,706
| 2 | 390, 706 |
| 195, 353 |
∴ So the LCM of the given numbers is 2 x 195 x 353 = 137670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137670
Therefore, the GCF of Fractions 2264/390,4122/706 is 2/137670
Least Common Multiple of 390,706 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 390,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(390,706) x common factors =2 x 1 = 2
LCM(390,706) = ( 390 × 706 ) / 2
LCM(390,706) = 275340 / 2
LCM(390,706) = 137670
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FAQs on GCF of Fractions of 2264/390, 4122/706
1. What is the HCF of 2264,4122?
The HCF of 2264,4122 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 2264/390, 4122/706?
Answer: GCF of Numerators as per given numbers 2264/390, 4122/706 is
GCF of Numerators i.e. for 2264,4122 is 2
LCM of denominators i.e. for 390,706 is 137670.
Thus, GCF of Fractions is 2/137670.Finally, GCF of Fractions for 2264/390, 4122/706 is 2/137670.