GCF of 805/612, 754/699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 805/612, 754/699 i.e 1/142596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/612, 754/699.
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 805/612,754/699?
Given fractions are 805/612,754/699
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 805/612,754/699, numerators are 805,754
Denominators are 612,699
The GCF of 805,754 is 1 .
LCM of 612,699 is 142596.
The greatest common factor of 805/612,754/699 = [GCF of 805,754]/[LCM of 612,699]= 1/142596
Therefore, the GCF of 805/612,754/699 is 1/142596.
To find the highest common factor of 805,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 805,754 is 1.
Lets's calculate GCF of 805,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 805,754 By Matching Biggest Common Factor Method
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 805,754 . The biggest common factor number is the GCF number.
So the greatest common factor 805,754 is 1.
Lets's calculate LCM of 612,699
| 3 | 612, 699 |
| 204, 233 |
∴ So the LCM of the given numbers is 3 x 204 x 233 = 142596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142596
Therefore, the GCF of Fractions 805/612,754/699 is 1/142596
Least Common Multiple of 612,699 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 612,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(612,699) x common factors =3 x 1 = 3
LCM(612,699) = ( 612 × 699 ) / 3
LCM(612,699) = 427788 / 3
LCM(612,699) = 142596
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FAQs on GCF of Fractions of 805/612, 754/699
1. What is the HCF of 805,754?
The HCF of 805,754 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 805/612, 754/699?
Answer: GCF of Numerators as per given numbers 805/612, 754/699 is
GCF of Numerators i.e. for 805,754 is 1
LCM of denominators i.e. for 612,699 is 142596.
Thus, GCF of Fractions is 1/142596.Finally, GCF of Fractions for 805/612, 754/699 is 1/142596.