GCF of 5254/978, 8915/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5254/978, 8915/988 i.e 1/483132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5254/978, 8915/988.
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 5254/978,8915/988?
Given fractions are 5254/978,8915/988
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 5254/978,8915/988, numerators are 5254,8915
Denominators are 978,988
The GCF of 5254,8915 is 1 .
LCM of 978,988 is 483132.
The greatest common factor of 5254/978,8915/988 = [GCF of 5254,8915]/[LCM of 978,988]= 1/483132
Therefore, the GCF of 5254/978,8915/988 is 1/483132.
To find the highest common factor of 5254,8915, we have to find the factors of both numbers and list the highest common factor.
The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254
The factors of 8915 are 1, 5, 1783, 8915
The HCF of 5254,8915 is 1.
Lets's calculate GCF of 5254,8915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5254,8915 By Matching Biggest Common Factor Method
Now, list down the factors of 5254
:1,2,37,71,74,142,2627,5254
Now, list down the factors of 8915
:1,5,1783,8915
Greatest Common Factor
We found the factors 5254,8915 . The biggest common factor number is the GCF number.
So the greatest common factor 5254,8915 is 1.
Lets's calculate LCM of 978,988
| 2 | 978, 988 |
| 489, 494 |
∴ So the LCM of the given numbers is 2 x 489 x 494 = 483132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483132
Therefore, the GCF of Fractions 5254/978,8915/988 is 1/483132
Least Common Multiple of 978,988 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 978,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,988) x common factors =2 x 1 = 2
LCM(978,988) = ( 978 × 988 ) / 2
LCM(978,988) = 966264 / 2
LCM(978,988) = 483132
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FAQs on GCF of Fractions of 5254/978, 8915/988
1. What is the HCF of 5254,8915?
The HCF of 5254,8915 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 5254/978, 8915/988?
Answer: GCF of Numerators as per given numbers 5254/978, 8915/988 is
GCF of Numerators i.e. for 5254,8915 is 1
LCM of denominators i.e. for 978,988 is 483132.
Thus, GCF of Fractions is 1/483132.Finally, GCF of Fractions for 5254/978, 8915/988 is 1/483132.