GCF of 8/85, 45/98, 96/146, 697/490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/85, 45/98, 96/146, 697/490 i.e 1/608090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/85, 45/98, 96/146, 697/490.
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 8/85,45/98,96/146,697/490?
Given fractions are 8/85,45/98,96/146,697/490
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 8/85,45/98,96/146,697/490, numerators are 8,45,96,697
Denominators are 85,98,146,490
The GCF of 8,45,96,697 is 1 .
LCM of 85,98,146,490 is 608090.
The greatest common factor of 8/85,45/98,96/146,697/490 = [GCF of 8,45,96,697]/[LCM of 85,98,146,490]= 1/608090
Therefore, the GCF of 8/85,45/98,96/146,697/490 is 1/608090.
To find the highest common factor of 8,45,96,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 697 are 1, 17, 41, 697
The HCF of 8,45,96,697 is 1.
Lets's calculate GCF of 8,45,96,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8,45,96,697 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 8,45,96,697 . The biggest common factor number is the GCF number.
So the greatest common factor 8,45,96,697 is 1.
Lets's calculate LCM of 85,98,146,490
| 2 | 85, 98, 146, 490 |
| 5 | 85, 49, 73, 245 |
| 7 | 17, 49, 73, 49 |
| 7 | 17, 7, 73, 7 |
| 17, 1, 73, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 17 x 1 x 73 x 1 = 608090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608090
Therefore, the GCF of Fractions 8/85,45/98,96/146,697/490 is 1/608090
Least Common Multiple of 85,98,146,490 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 85,98,146,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,98,146,490) = 1
common factors(in case of two or more numbers have common factors) = 980
GCF(85,98,146,490) x common factors =1 x 980 = 980
LCM(85,98,146,490) = ( 85 × 98 × 146 × 490 ) / 980
LCM(85,98,146,490) = 595928200 / 980
LCM(85,98,146,490) = 608090
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8/85, 45/98, 96/146, 697/490
1. What is the HCF of 8,45,96,697?
The HCF of 8,45,96,697 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 8/85, 45/98, 96/146, 697/490?
Answer: GCF of Numerators as per given numbers 8/85, 45/98, 96/146, 697/490 is
GCF of Numerators i.e. for 8,45,96,697 is 1
LCM of denominators i.e. for 85,98,146,490 is 608090.
Thus, GCF of Fractions is 1/608090.Finally, GCF of Fractions for 8/85, 45/98, 96/146, 697/490 is 1/608090.