GCF of 3391/924, 3698/7661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3391/924, 3698/7661 i.e 1/7078764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3391/924, 3698/7661.
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 3391/924,3698/7661?
Given fractions are 3391/924,3698/7661
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 3391/924,3698/7661, numerators are 3391,3698
Denominators are 924,7661
The GCF of 3391,3698 is 1 .
LCM of 924,7661 is 7078764.
The greatest common factor of 3391/924,3698/7661 = [GCF of 3391,3698]/[LCM of 924,7661]= 1/7078764
Therefore, the GCF of 3391/924,3698/7661 is 1/7078764.
To find the highest common factor of 3391,3698, we have to find the factors of both numbers and list the highest common factor.
The factors of 3391 are 1, 3391
The factors of 3698 are 1, 2, 43, 86, 1849, 3698
The HCF of 3391,3698 is 1.
Lets's calculate GCF of 3391,3698
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3391,3698 By Matching Biggest Common Factor Method
Now, list down the factors of 3391
:1,3391
Now, list down the factors of 3698
:1,2,43,86,1849,3698
Greatest Common Factor
We found the factors 3391,3698 . The biggest common factor number is the GCF number.
So the greatest common factor 3391,3698 is 1.
Lets's calculate LCM of 924,7661
Given numbers has no common factors except 1. So, there LCM is their product i.e 7078764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7078764
Therefore, the GCF of Fractions 3391/924,3698/7661 is 1/7078764
Least Common Multiple of 924,7661 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 924,7661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,7661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,7661) x common factors =1 x 1 = 1
LCM(924,7661) = ( 924 × 7661 ) / 1
LCM(924,7661) = 7078764 / 1
LCM(924,7661) = 7078764
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FAQs on GCF of Fractions of 3391/924, 3698/7661
1. What is the HCF of 3391,3698?
The HCF of 3391,3698 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 3391/924, 3698/7661?
Answer: GCF of Numerators as per given numbers 3391/924, 3698/7661 is
GCF of Numerators i.e. for 3391,3698 is 1
LCM of denominators i.e. for 924,7661 is 7078764.
Thus, GCF of Fractions is 1/7078764.Finally, GCF of Fractions for 3391/924, 3698/7661 is 1/7078764.