GCF of 2314/638, 7430/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2314/638, 7430/745 i.e 2/475310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2314/638, 7430/745.
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 2314/638,7430/745?
Given fractions are 2314/638,7430/745
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 2314/638,7430/745, numerators are 2314,7430
Denominators are 638,745
The GCF of 2314,7430 is 2 .
LCM of 638,745 is 475310.
The greatest common factor of 2314/638,7430/745 = [GCF of 2314,7430]/[LCM of 638,745]= 2/475310
Therefore, the GCF of 2314/638,7430/745 is 2/475310.
To find the highest common factor of 2314,7430, we have to find the factors of both numbers and list the highest common factor.
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The HCF of 2314,7430 is 2.
Lets's calculate GCF of 2314,7430
| 2 | 2314, 7430 |
| 1157, 3715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2314,7430 By Matching Biggest Common Factor Method
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Greatest Common Factor
We found the factors 2314,7430 . The biggest common factor number is the GCF number.
So the greatest common factor 2314,7430 is 2.
Lets's calculate LCM of 638,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 475310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/475310
Therefore, the GCF of Fractions 2314/638,7430/745 is 2/475310
Least Common Multiple of 638,745 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 638,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,745) x common factors =1 x 1 = 1
LCM(638,745) = ( 638 × 745 ) / 1
LCM(638,745) = 475310 / 1
LCM(638,745) = 475310
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FAQs on GCF of Fractions of 2314/638, 7430/745
1. What is the HCF of 2314,7430?
The HCF of 2314,7430 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 2314/638, 7430/745?
Answer: GCF of Numerators as per given numbers 2314/638, 7430/745 is
GCF of Numerators i.e. for 2314,7430 is 2
LCM of denominators i.e. for 638,745 is 475310.
Thus, GCF of Fractions is 2/475310.Finally, GCF of Fractions for 2314/638, 7430/745 is 2/475310.