GCF of 7967/385, 9526/7348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7967/385, 9526/7348 i.e 1/257180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7967/385, 9526/7348.
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 7967/385,9526/7348?
Given fractions are 7967/385,9526/7348
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 7967/385,9526/7348, numerators are 7967,9526
Denominators are 385,7348
The GCF of 7967,9526 is 1 .
LCM of 385,7348 is 257180.
The greatest common factor of 7967/385,9526/7348 = [GCF of 7967,9526]/[LCM of 385,7348]= 1/257180
Therefore, the GCF of 7967/385,9526/7348 is 1/257180.
To find the highest common factor of 7967,9526, we have to find the factors of both numbers and list the highest common factor.
The factors of 7967 are 1, 31, 257, 7967
The factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526
The HCF of 7967,9526 is 1.
Lets's calculate GCF of 7967,9526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7967,9526 By Matching Biggest Common Factor Method
Now, list down the factors of 7967
:1,31,257,7967
Now, list down the factors of 9526
:1,2,11,22,433,866,4763,9526
Greatest Common Factor
We found the factors 7967,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 7967,9526 is 1.
Lets's calculate LCM of 385,7348
| 11 | 385, 7348 |
| 35, 668 |
∴ So the LCM of the given numbers is 11 x 35 x 668 = 257180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257180
Therefore, the GCF of Fractions 7967/385,9526/7348 is 1/257180
Least Common Multiple of 385,7348 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 385,7348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,7348) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(385,7348) x common factors =11 x 1 = 11
LCM(385,7348) = ( 385 × 7348 ) / 11
LCM(385,7348) = 2828980 / 11
LCM(385,7348) = 257180
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FAQs on GCF of Fractions of 7967/385, 9526/7348
1. What is the HCF of 7967,9526?
The HCF of 7967,9526 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 7967/385, 9526/7348?
Answer: GCF of Numerators as per given numbers 7967/385, 9526/7348 is
GCF of Numerators i.e. for 7967,9526 is 1
LCM of denominators i.e. for 385,7348 is 257180.
Thus, GCF of Fractions is 1/257180.Finally, GCF of Fractions for 7967/385, 9526/7348 is 1/257180.