GCF of 6952/667, 7275/9435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6952/667, 7275/9435 i.e 1/6293145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6952/667, 7275/9435.
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 6952/667,7275/9435?
Given fractions are 6952/667,7275/9435
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 6952/667,7275/9435, numerators are 6952,7275
Denominators are 667,9435
The GCF of 6952,7275 is 1 .
LCM of 667,9435 is 6293145.
The greatest common factor of 6952/667,7275/9435 = [GCF of 6952,7275]/[LCM of 667,9435]= 1/6293145
Therefore, the GCF of 6952/667,7275/9435 is 1/6293145.
To find the highest common factor of 6952,7275, we have to find the factors of both numbers and list the highest common factor.
The factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952
The factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275
The HCF of 6952,7275 is 1.
Lets's calculate GCF of 6952,7275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6952,7275 By Matching Biggest Common Factor Method
Now, list down the factors of 6952
:1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952
Now, list down the factors of 7275
:1,3,5,15,25,75,97,291,485,1455,2425,7275
Greatest Common Factor
We found the factors 6952,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,7275 is 1.
Lets's calculate LCM of 667,9435
Given numbers has no common factors except 1. So, there LCM is their product i.e 6293145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6293145
Therefore, the GCF of Fractions 6952/667,7275/9435 is 1/6293145
Least Common Multiple of 667,9435 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 667,9435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9435) x common factors =1 x 1 = 1
LCM(667,9435) = ( 667 × 9435 ) / 1
LCM(667,9435) = 6293145 / 1
LCM(667,9435) = 6293145
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FAQs on GCF of Fractions of 6952/667, 7275/9435
1. What is the HCF of 6952,7275?
The HCF of 6952,7275 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 6952/667, 7275/9435?
Answer: GCF of Numerators as per given numbers 6952/667, 7275/9435 is
GCF of Numerators i.e. for 6952,7275 is 1
LCM of denominators i.e. for 667,9435 is 6293145.
Thus, GCF of Fractions is 1/6293145.Finally, GCF of Fractions for 6952/667, 7275/9435 is 1/6293145.