GCF of 641/597, 536/631, 949/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 641/597, 536/631, 949/597 i.e 1/376707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/597, 536/631, 949/597.
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 641/597,536/631,949/597?
Given fractions are 641/597,536/631,949/597
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 641/597,536/631,949/597, numerators are 641,536,949
Denominators are 597,631,597
The GCF of 641,536,949 is 1 .
LCM of 597,631,597 is 376707.
The greatest common factor of 641/597,536/631,949/597 = [GCF of 641,536,949]/[LCM of 597,631,597]= 1/376707
Therefore, the GCF of 641/597,536/631,949/597 is 1/376707.
To find the highest common factor of 641,536,949, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The factors of 949 are 1, 13, 73, 949
The HCF of 641,536,949 is 1.
Lets's calculate GCF of 641,536,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 641,536,949 By Matching Biggest Common Factor Method
Now, list down the factors of 641
:1,641
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Now, list down the factors of 949
:1,13,73,949
Greatest Common Factor
We found the factors 641,536,949 . The biggest common factor number is the GCF number.
So the greatest common factor 641,536,949 is 1.
Lets's calculate LCM of 597,631,597
| 3 | 597, 631, 597 |
| 199 | 199, 631, 199 |
| 1, 631, 1 |
∴ So the LCM of the given numbers is 3 x 199 x 1 x 631 x 1 = 376707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376707
Therefore, the GCF of Fractions 641/597,536/631,949/597 is 1/376707
Least Common Multiple of 597,631,597 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 597,631,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,631,597) = 1
common factors(in case of two or more numbers have common factors) = 597
GCF(597,631,597) x common factors =1 x 597 = 597
LCM(597,631,597) = ( 597 × 631 × 597 ) / 597
LCM(597,631,597) = 224894079 / 597
LCM(597,631,597) = 376707
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 641/597, 536/631, 949/597
1. What is the HCF of 641,536,949?
The HCF of 641,536,949 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 641/597, 536/631, 949/597?
Answer: GCF of Numerators as per given numbers 641/597, 536/631, 949/597 is
GCF of Numerators i.e. for 641,536,949 is 1
LCM of denominators i.e. for 597,631,597 is 376707.
Thus, GCF of Fractions is 1/376707.Finally, GCF of Fractions for 641/597, 536/631, 949/597 is 1/376707.