GCF of 9749/739, 6372/805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9749/739, 6372/805 i.e 1/594895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9749/739, 6372/805.
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 9749/739,6372/805?
Given fractions are 9749/739,6372/805
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 9749/739,6372/805, numerators are 9749,6372
Denominators are 739,805
The GCF of 9749,6372 is 1 .
LCM of 739,805 is 594895.
The greatest common factor of 9749/739,6372/805 = [GCF of 9749,6372]/[LCM of 739,805]= 1/594895
Therefore, the GCF of 9749/739,6372/805 is 1/594895.
To find the highest common factor of 9749,6372, we have to find the factors of both numbers and list the highest common factor.
The factors of 9749 are 1, 9749
The factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372
The HCF of 9749,6372 is 1.
Lets's calculate GCF of 9749,6372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9749,6372 By Matching Biggest Common Factor Method
Now, list down the factors of 9749
:1,9749
Now, list down the factors of 6372
:1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Greatest Common Factor
We found the factors 9749,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,6372 is 1.
Lets's calculate LCM of 739,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 594895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594895
Therefore, the GCF of Fractions 9749/739,6372/805 is 1/594895
Least Common Multiple of 739,805 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 739,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,805) x common factors =1 x 1 = 1
LCM(739,805) = ( 739 × 805 ) / 1
LCM(739,805) = 594895 / 1
LCM(739,805) = 594895
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FAQs on GCF of Fractions of 9749/739, 6372/805
1. What is the HCF of 9749,6372?
The HCF of 9749,6372 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 9749/739, 6372/805?
Answer: GCF of Numerators as per given numbers 9749/739, 6372/805 is
GCF of Numerators i.e. for 9749,6372 is 1
LCM of denominators i.e. for 739,805 is 594895.
Thus, GCF of Fractions is 1/594895.Finally, GCF of Fractions for 9749/739, 6372/805 is 1/594895.