GCF of 7649/174, 5384/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7649/174, 5384/349 i.e 1/60726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7649/174, 5384/349.
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 7649/174,5384/349?
Given fractions are 7649/174,5384/349
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 7649/174,5384/349, numerators are 7649,5384
Denominators are 174,349
The GCF of 7649,5384 is 1 .
LCM of 174,349 is 60726.
The greatest common factor of 7649/174,5384/349 = [GCF of 7649,5384]/[LCM of 174,349]= 1/60726
Therefore, the GCF of 7649/174,5384/349 is 1/60726.
To find the highest common factor of 7649,5384, we have to find the factors of both numbers and list the highest common factor.
The factors of 7649 are 1, 7649
The factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384
The HCF of 7649,5384 is 1.
Lets's calculate GCF of 7649,5384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7649,5384 By Matching Biggest Common Factor Method
Now, list down the factors of 7649
:1,7649
Now, list down the factors of 5384
:1,2,4,8,673,1346,2692,5384
Greatest Common Factor
We found the factors 7649,5384 . The biggest common factor number is the GCF number.
So the greatest common factor 7649,5384 is 1.
Lets's calculate LCM of 174,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 60726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60726
Therefore, the GCF of Fractions 7649/174,5384/349 is 1/60726
Least Common Multiple of 174,349 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 174,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,349) x common factors =1 x 1 = 1
LCM(174,349) = ( 174 × 349 ) / 1
LCM(174,349) = 60726 / 1
LCM(174,349) = 60726
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FAQs on GCF of Fractions of 7649/174, 5384/349
1. What is the HCF of 7649,5384?
The HCF of 7649,5384 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 7649/174, 5384/349?
Answer: GCF of Numerators as per given numbers 7649/174, 5384/349 is
GCF of Numerators i.e. for 7649,5384 is 1
LCM of denominators i.e. for 174,349 is 60726.
Thus, GCF of Fractions is 1/60726.Finally, GCF of Fractions for 7649/174, 5384/349 is 1/60726.