GCF of 4997/685, 7969/6114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4997/685, 7969/6114 i.e 1/4188090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4997/685, 7969/6114.
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 4997/685,7969/6114?
Given fractions are 4997/685,7969/6114
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 4997/685,7969/6114, numerators are 4997,7969
Denominators are 685,6114
The GCF of 4997,7969 is 1 .
LCM of 685,6114 is 4188090.
The greatest common factor of 4997/685,7969/6114 = [GCF of 4997,7969]/[LCM of 685,6114]= 1/4188090
Therefore, the GCF of 4997/685,7969/6114 is 1/4188090.
To find the highest common factor of 4997,7969, we have to find the factors of both numbers and list the highest common factor.
The factors of 4997 are 1, 19, 263, 4997
The factors of 7969 are 1, 13, 613, 7969
The HCF of 4997,7969 is 1.
Lets's calculate GCF of 4997,7969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4997,7969 By Matching Biggest Common Factor Method
Now, list down the factors of 4997
:1,19,263,4997
Now, list down the factors of 7969
:1,13,613,7969
Greatest Common Factor
We found the factors 4997,7969 . The biggest common factor number is the GCF number.
So the greatest common factor 4997,7969 is 1.
Lets's calculate LCM of 685,6114
Given numbers has no common factors except 1. So, there LCM is their product i.e 4188090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4188090
Therefore, the GCF of Fractions 4997/685,7969/6114 is 1/4188090
Least Common Multiple of 685,6114 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 685,6114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,6114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,6114) x common factors =1 x 1 = 1
LCM(685,6114) = ( 685 × 6114 ) / 1
LCM(685,6114) = 4188090 / 1
LCM(685,6114) = 4188090
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FAQs on GCF of Fractions of 4997/685, 7969/6114
1. What is the HCF of 4997,7969?
The HCF of 4997,7969 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 4997/685, 7969/6114?
Answer: GCF of Numerators as per given numbers 4997/685, 7969/6114 is
GCF of Numerators i.e. for 4997,7969 is 1
LCM of denominators i.e. for 685,6114 is 4188090.
Thus, GCF of Fractions is 1/4188090.Finally, GCF of Fractions for 4997/685, 7969/6114 is 1/4188090.