GCF of 7536/615, 4754/4438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7536/615, 4754/4438 i.e 2/2729370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7536/615, 4754/4438.
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 7536/615,4754/4438?
Given fractions are 7536/615,4754/4438
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 7536/615,4754/4438, numerators are 7536,4754
Denominators are 615,4438
The GCF of 7536,4754 is 2 .
LCM of 615,4438 is 2729370.
The greatest common factor of 7536/615,4754/4438 = [GCF of 7536,4754]/[LCM of 615,4438]= 2/2729370
Therefore, the GCF of 7536/615,4754/4438 is 2/2729370.
To find the highest common factor of 7536,4754, we have to find the factors of both numbers and list the highest common factor.
The factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
The factors of 4754 are 1, 2, 2377, 4754
The HCF of 7536,4754 is 2.
Lets's calculate GCF of 7536,4754
| 2 | 7536, 4754 |
| 3768, 2377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7536,4754 By Matching Biggest Common Factor Method
Now, list down the factors of 7536
:1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Now, list down the factors of 4754
:1,2,2377,4754
Greatest Common Factor
We found the factors 7536,4754 . The biggest common factor number is the GCF number.
So the greatest common factor 7536,4754 is 2.
Lets's calculate LCM of 615,4438
Given numbers has no common factors except 1. So, there LCM is their product i.e 2729370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2729370
Therefore, the GCF of Fractions 7536/615,4754/4438 is 2/2729370
Least Common Multiple of 615,4438 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 615,4438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,4438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,4438) x common factors =1 x 1 = 1
LCM(615,4438) = ( 615 × 4438 ) / 1
LCM(615,4438) = 2729370 / 1
LCM(615,4438) = 2729370
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FAQs on GCF of Fractions of 7536/615, 4754/4438
1. What is the HCF of 7536,4754?
The HCF of 7536,4754 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 7536/615, 4754/4438?
Answer: GCF of Numerators as per given numbers 7536/615, 4754/4438 is
GCF of Numerators i.e. for 7536,4754 is 2
LCM of denominators i.e. for 615,4438 is 2729370.
Thus, GCF of Fractions is 2/2729370.Finally, GCF of Fractions for 7536/615, 4754/4438 is 2/2729370.