GCF of 7599/668, 7874/5771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7599/668, 7874/5771 i.e 1/3855028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7599/668, 7874/5771.
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 7599/668,7874/5771?
Given fractions are 7599/668,7874/5771
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 7599/668,7874/5771, numerators are 7599,7874
Denominators are 668,5771
The GCF of 7599,7874 is 1 .
LCM of 668,5771 is 3855028.
The greatest common factor of 7599/668,7874/5771 = [GCF of 7599,7874]/[LCM of 668,5771]= 1/3855028
Therefore, the GCF of 7599/668,7874/5771 is 1/3855028.
To find the highest common factor of 7599,7874, we have to find the factors of both numbers and list the highest common factor.
The factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599
The factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874
The HCF of 7599,7874 is 1.
Lets's calculate GCF of 7599,7874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7599,7874 By Matching Biggest Common Factor Method
Now, list down the factors of 7599
:1,3,17,51,149,447,2533,7599
Now, list down the factors of 7874
:1,2,31,62,127,254,3937,7874
Greatest Common Factor
We found the factors 7599,7874 . The biggest common factor number is the GCF number.
So the greatest common factor 7599,7874 is 1.
Lets's calculate LCM of 668,5771
Given numbers has no common factors except 1. So, there LCM is their product i.e 3855028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3855028
Therefore, the GCF of Fractions 7599/668,7874/5771 is 1/3855028
Least Common Multiple of 668,5771 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 668,5771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,5771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,5771) x common factors =1 x 1 = 1
LCM(668,5771) = ( 668 × 5771 ) / 1
LCM(668,5771) = 3855028 / 1
LCM(668,5771) = 3855028
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FAQs on GCF of Fractions of 7599/668, 7874/5771
1. What is the HCF of 7599,7874?
The HCF of 7599,7874 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 7599/668, 7874/5771?
Answer: GCF of Numerators as per given numbers 7599/668, 7874/5771 is
GCF of Numerators i.e. for 7599,7874 is 1
LCM of denominators i.e. for 668,5771 is 3855028.
Thus, GCF of Fractions is 1/3855028.Finally, GCF of Fractions for 7599/668, 7874/5771 is 1/3855028.