GCF of 7430/625, 9896/7238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7430/625, 9896/7238 i.e 2/4523750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7430/625, 9896/7238.
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 7430/625,9896/7238?
Given fractions are 7430/625,9896/7238
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 7430/625,9896/7238, numerators are 7430,9896
Denominators are 625,7238
The GCF of 7430,9896 is 2 .
LCM of 625,7238 is 4523750.
The greatest common factor of 7430/625,9896/7238 = [GCF of 7430,9896]/[LCM of 625,7238]= 2/4523750
Therefore, the GCF of 7430/625,9896/7238 is 2/4523750.
To find the highest common factor of 7430,9896, we have to find the factors of both numbers and list the highest common factor.
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The factors of 9896 are 1, 2, 4, 8, 1237, 2474, 4948, 9896
The HCF of 7430,9896 is 2.
Lets's calculate GCF of 7430,9896
| 2 | 7430, 9896 |
| 3715, 4948 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7430,9896 By Matching Biggest Common Factor Method
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Now, list down the factors of 9896
:1,2,4,8,1237,2474,4948,9896
Greatest Common Factor
We found the factors 7430,9896 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,9896 is 2.
Lets's calculate LCM of 625,7238
Given numbers has no common factors except 1. So, there LCM is their product i.e 4523750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4523750
Therefore, the GCF of Fractions 7430/625,9896/7238 is 2/4523750
Least Common Multiple of 625,7238 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 625,7238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,7238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,7238) x common factors =1 x 1 = 1
LCM(625,7238) = ( 625 × 7238 ) / 1
LCM(625,7238) = 4523750 / 1
LCM(625,7238) = 4523750
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FAQs on GCF of Fractions of 7430/625, 9896/7238
1. What is the HCF of 7430,9896?
The HCF of 7430,9896 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 7430/625, 9896/7238?
Answer: GCF of Numerators as per given numbers 7430/625, 9896/7238 is
GCF of Numerators i.e. for 7430,9896 is 2
LCM of denominators i.e. for 625,7238 is 4523750.
Thus, GCF of Fractions is 2/4523750.Finally, GCF of Fractions for 7430/625, 9896/7238 is 2/4523750.