GCF of 798/862, 711/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 798/862, 711/554 i.e 3/238774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 798/862, 711/554.
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 798/862,711/554?
Given fractions are 798/862,711/554
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 798/862,711/554, numerators are 798,711
Denominators are 862,554
The GCF of 798,711 is 3 .
LCM of 862,554 is 238774.
The greatest common factor of 798/862,711/554 = [GCF of 798,711]/[LCM of 862,554]= 3/238774
Therefore, the GCF of 798/862,711/554 is 3/238774.
To find the highest common factor of 798,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 798,711 is 3.
Lets's calculate GCF of 798,711
| 3 | 798, 711 |
| 266, 237 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 798,711 By Matching Biggest Common Factor Method
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 798,711 . The biggest common factor number is the GCF number.
So the greatest common factor 798,711 is 3.
Lets's calculate LCM of 862,554
| 2 | 862, 554 |
| 431, 277 |
∴ So the LCM of the given numbers is 2 x 431 x 277 = 238774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/238774
Therefore, the GCF of Fractions 798/862,711/554 is 3/238774
Least Common Multiple of 862,554 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 862,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,554) x common factors =2 x 1 = 2
LCM(862,554) = ( 862 × 554 ) / 2
LCM(862,554) = 477548 / 2
LCM(862,554) = 238774
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FAQs on GCF of Fractions of 798/862, 711/554
1. What is the HCF of 798,711?
The HCF of 798,711 is 3
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 798/862, 711/554?
Answer: GCF of Numerators as per given numbers 798/862, 711/554 is
GCF of Numerators i.e. for 798,711 is 3
LCM of denominators i.e. for 862,554 is 238774.
Thus, GCF of Fractions is 3/238774.Finally, GCF of Fractions for 798/862, 711/554 is 3/238774.