GCF of 7949/691, 7584/2496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7949/691, 7584/2496 i.e 1/1724736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7949/691, 7584/2496.
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 7949/691,7584/2496?
Given fractions are 7949/691,7584/2496
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 7949/691,7584/2496, numerators are 7949,7584
Denominators are 691,2496
The GCF of 7949,7584 is 1 .
LCM of 691,2496 is 1724736.
The greatest common factor of 7949/691,7584/2496 = [GCF of 7949,7584]/[LCM of 691,2496]= 1/1724736
Therefore, the GCF of 7949/691,7584/2496 is 1/1724736.
To find the highest common factor of 7949,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 7949 are 1, 7949
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 7949,7584 is 1.
Lets's calculate GCF of 7949,7584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7949,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 7949
:1,7949
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 7949,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 7949,7584 is 1.
Lets's calculate LCM of 691,2496
Given numbers has no common factors except 1. So, there LCM is their product i.e 1724736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1724736
Therefore, the GCF of Fractions 7949/691,7584/2496 is 1/1724736
Least Common Multiple of 691,2496 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 691,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,2496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,2496) x common factors =1 x 1 = 1
LCM(691,2496) = ( 691 × 2496 ) / 1
LCM(691,2496) = 1724736 / 1
LCM(691,2496) = 1724736
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FAQs on GCF of Fractions of 7949/691, 7584/2496
1. What is the HCF of 7949,7584?
The HCF of 7949,7584 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 7949/691, 7584/2496?
Answer: GCF of Numerators as per given numbers 7949/691, 7584/2496 is
GCF of Numerators i.e. for 7949,7584 is 1
LCM of denominators i.e. for 691,2496 is 1724736.
Thus, GCF of Fractions is 1/1724736.Finally, GCF of Fractions for 7949/691, 7584/2496 is 1/1724736.