GCF of 7805/150, 8406/7538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7805/150, 8406/7538 i.e 1/565350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7805/150, 8406/7538.
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 7805/150,8406/7538?
Given fractions are 7805/150,8406/7538
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 7805/150,8406/7538, numerators are 7805,8406
Denominators are 150,7538
The GCF of 7805,8406 is 1 .
LCM of 150,7538 is 565350.
The greatest common factor of 7805/150,8406/7538 = [GCF of 7805,8406]/[LCM of 150,7538]= 1/565350
Therefore, the GCF of 7805/150,8406/7538 is 1/565350.
To find the highest common factor of 7805,8406, we have to find the factors of both numbers and list the highest common factor.
The factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805
The factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406
The HCF of 7805,8406 is 1.
Lets's calculate GCF of 7805,8406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7805,8406 By Matching Biggest Common Factor Method
Now, list down the factors of 7805
:1,5,7,35,223,1115,1561,7805
Now, list down the factors of 8406
:1,2,3,6,9,18,467,934,1401,2802,4203,8406
Greatest Common Factor
We found the factors 7805,8406 . The biggest common factor number is the GCF number.
So the greatest common factor 7805,8406 is 1.
Lets's calculate LCM of 150,7538
| 2 | 150, 7538 |
| 75, 3769 |
∴ So the LCM of the given numbers is 2 x 75 x 3769 = 565350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565350
Therefore, the GCF of Fractions 7805/150,8406/7538 is 1/565350
Least Common Multiple of 150,7538 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 150,7538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,7538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(150,7538) x common factors =2 x 1 = 2
LCM(150,7538) = ( 150 × 7538 ) / 2
LCM(150,7538) = 1130700 / 2
LCM(150,7538) = 565350
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FAQs on GCF of Fractions of 7805/150, 8406/7538
1. What is the HCF of 7805,8406?
The HCF of 7805,8406 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 7805/150, 8406/7538?
Answer: GCF of Numerators as per given numbers 7805/150, 8406/7538 is
GCF of Numerators i.e. for 7805,8406 is 1
LCM of denominators i.e. for 150,7538 is 565350.
Thus, GCF of Fractions is 1/565350.Finally, GCF of Fractions for 7805/150, 8406/7538 is 1/565350.