GCF of 3917/772, 5738/9293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3917/772, 5738/9293 i.e 1/7174196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3917/772, 5738/9293.
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 3917/772,5738/9293?
Given fractions are 3917/772,5738/9293
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 3917/772,5738/9293, numerators are 3917,5738
Denominators are 772,9293
The GCF of 3917,5738 is 1 .
LCM of 772,9293 is 7174196.
The greatest common factor of 3917/772,5738/9293 = [GCF of 3917,5738]/[LCM of 772,9293]= 1/7174196
Therefore, the GCF of 3917/772,5738/9293 is 1/7174196.
To find the highest common factor of 3917,5738, we have to find the factors of both numbers and list the highest common factor.
The factors of 3917 are 1, 3917
The factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738
The HCF of 3917,5738 is 1.
Lets's calculate GCF of 3917,5738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3917,5738 By Matching Biggest Common Factor Method
Now, list down the factors of 3917
:1,3917
Now, list down the factors of 5738
:1,2,19,38,151,302,2869,5738
Greatest Common Factor
We found the factors 3917,5738 . The biggest common factor number is the GCF number.
So the greatest common factor 3917,5738 is 1.
Lets's calculate LCM of 772,9293
Given numbers has no common factors except 1. So, there LCM is their product i.e 7174196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7174196
Therefore, the GCF of Fractions 3917/772,5738/9293 is 1/7174196
Least Common Multiple of 772,9293 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 772,9293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,9293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,9293) x common factors =1 x 1 = 1
LCM(772,9293) = ( 772 × 9293 ) / 1
LCM(772,9293) = 7174196 / 1
LCM(772,9293) = 7174196
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FAQs on GCF of Fractions of 3917/772, 5738/9293
1. What is the HCF of 3917,5738?
The HCF of 3917,5738 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 3917/772, 5738/9293?
Answer: GCF of Numerators as per given numbers 3917/772, 5738/9293 is
GCF of Numerators i.e. for 3917,5738 is 1
LCM of denominators i.e. for 772,9293 is 7174196.
Thus, GCF of Fractions is 1/7174196.Finally, GCF of Fractions for 3917/772, 5738/9293 is 1/7174196.