Use our free GCF of Fractions Calculator tool to compute the GCF of 95/89, 841/98, 207/665 i.e 1/828590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/89, 841/98, 207/665.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/89,841/98,207/665
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 95/89,841/98,207/665, numerators are 95,841,207
Denominators are 89,98,665
The GCF of 95,841,207 is 1 .
LCM of 89,98,665 is 828590.
The greatest common factor of 95/89,841/98,207/665 = [GCF of 95,841,207]/[LCM of 89,98,665]= 1/828590
Therefore, the GCF of 95/89,841/98,207/665 is 1/828590.
To find the highest common factor of 95,841,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 841 are 1, 29, 841
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 95,841,207 is 1.
Lets's calculate GCF of 95,841,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 841
:1,29,841
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 95,841,207 . The biggest common factor number is the GCF number.
So the greatest common factor 95,841,207 is 1.
Lets's calculate LCM of 89,98,665
7 | 89, 98, 665 |
89, 14, 95 |
∴ So the LCM of the given numbers is 7 x 89 x 14 x 95 = 828590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828590
Therefore, the GCF of Fractions 95/89,841/98,207/665 is 1/828590
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 89,98,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,98,665) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(89,98,665) x common factors =1 x 7 = 7
LCM(89,98,665) = ( 89 × 98 × 665 ) / 7
LCM(89,98,665) = 5800130 / 7
LCM(89,98,665) = 828590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,841,207?
The HCF of 95,841,207 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 95/89, 841/98, 207/665?
Answer: GCF of Numerators as per given numbers 95/89, 841/98, 207/665 is
GCF of Numerators i.e. for 95,841,207 is 1
LCM of denominators i.e. for 89,98,665 is 828590.
Thus, GCF of Fractions is 1/828590.Finally, GCF of Fractions for 95/89, 841/98, 207/665 is 1/828590.