GCF of 7375/967, 6594/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7375/967, 6594/7079 i.e 1/6845393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7375/967, 6594/7079.
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 7375/967,6594/7079?
Given fractions are 7375/967,6594/7079
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 7375/967,6594/7079, numerators are 7375,6594
Denominators are 967,7079
The GCF of 7375,6594 is 1 .
LCM of 967,7079 is 6845393.
The greatest common factor of 7375/967,6594/7079 = [GCF of 7375,6594]/[LCM of 967,7079]= 1/6845393
Therefore, the GCF of 7375/967,6594/7079 is 1/6845393.
To find the highest common factor of 7375,6594, we have to find the factors of both numbers and list the highest common factor.
The factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375
The factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594
The HCF of 7375,6594 is 1.
Lets's calculate GCF of 7375,6594
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7375,6594 By Matching Biggest Common Factor Method
Now, list down the factors of 7375
:1,5,25,59,125,295,1475,7375
Now, list down the factors of 6594
:1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594
Greatest Common Factor
We found the factors 7375,6594 . The biggest common factor number is the GCF number.
So the greatest common factor 7375,6594 is 1.
Lets's calculate LCM of 967,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 6845393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6845393
Therefore, the GCF of Fractions 7375/967,6594/7079 is 1/6845393
Least Common Multiple of 967,7079 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 967,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,7079) x common factors =1 x 1 = 1
LCM(967,7079) = ( 967 × 7079 ) / 1
LCM(967,7079) = 6845393 / 1
LCM(967,7079) = 6845393
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FAQs on GCF of Fractions of 7375/967, 6594/7079
1. What is the HCF of 7375,6594?
The HCF of 7375,6594 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 7375/967, 6594/7079?
Answer: GCF of Numerators as per given numbers 7375/967, 6594/7079 is
GCF of Numerators i.e. for 7375,6594 is 1
LCM of denominators i.e. for 967,7079 is 6845393.
Thus, GCF of Fractions is 1/6845393.Finally, GCF of Fractions for 7375/967, 6594/7079 is 1/6845393.