GCF of 4978/187, 8749/3592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4978/187, 8749/3592 i.e 1/671704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4978/187, 8749/3592.
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 4978/187,8749/3592?
Given fractions are 4978/187,8749/3592
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 4978/187,8749/3592, numerators are 4978,8749
Denominators are 187,3592
The GCF of 4978,8749 is 1 .
LCM of 187,3592 is 671704.
The greatest common factor of 4978/187,8749/3592 = [GCF of 4978,8749]/[LCM of 187,3592]= 1/671704
Therefore, the GCF of 4978/187,8749/3592 is 1/671704.
To find the highest common factor of 4978,8749, we have to find the factors of both numbers and list the highest common factor.
The factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978
The factors of 8749 are 1, 13, 673, 8749
The HCF of 4978,8749 is 1.
Lets's calculate GCF of 4978,8749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4978,8749 By Matching Biggest Common Factor Method
Now, list down the factors of 4978
:1,2,19,38,131,262,2489,4978
Now, list down the factors of 8749
:1,13,673,8749
Greatest Common Factor
We found the factors 4978,8749 . The biggest common factor number is the GCF number.
So the greatest common factor 4978,8749 is 1.
Lets's calculate LCM of 187,3592
Given numbers has no common factors except 1. So, there LCM is their product i.e 671704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/671704
Therefore, the GCF of Fractions 4978/187,8749/3592 is 1/671704
Least Common Multiple of 187,3592 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 187,3592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,3592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,3592) x common factors =1 x 1 = 1
LCM(187,3592) = ( 187 × 3592 ) / 1
LCM(187,3592) = 671704 / 1
LCM(187,3592) = 671704
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FAQs on GCF of Fractions of 4978/187, 8749/3592
1. What is the HCF of 4978,8749?
The HCF of 4978,8749 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 4978/187, 8749/3592?
Answer: GCF of Numerators as per given numbers 4978/187, 8749/3592 is
GCF of Numerators i.e. for 4978,8749 is 1
LCM of denominators i.e. for 187,3592 is 671704.
Thus, GCF of Fractions is 1/671704.Finally, GCF of Fractions for 4978/187, 8749/3592 is 1/671704.