GCF of 8958/690, 3159/3222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8958/690, 3159/3222 i.e 3/370530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8958/690, 3159/3222.
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 8958/690,3159/3222?
Given fractions are 8958/690,3159/3222
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 8958/690,3159/3222, numerators are 8958,3159
Denominators are 690,3222
The GCF of 8958,3159 is 3 .
LCM of 690,3222 is 370530.
The greatest common factor of 8958/690,3159/3222 = [GCF of 8958,3159]/[LCM of 690,3222]= 3/370530
Therefore, the GCF of 8958/690,3159/3222 is 3/370530.
To find the highest common factor of 8958,3159, we have to find the factors of both numbers and list the highest common factor.
The factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The HCF of 8958,3159 is 3.
Lets's calculate GCF of 8958,3159
| 3 | 8958, 3159 |
| 2986, 1053 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8958,3159 By Matching Biggest Common Factor Method
Now, list down the factors of 8958
:1,2,3,6,1493,2986,4479,8958
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Greatest Common Factor
We found the factors 8958,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 8958,3159 is 3.
Lets's calculate LCM of 690,3222
| 2 | 690, 3222 |
| 3 | 345, 1611 |
| 115, 537 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 537 = 370530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/370530
Therefore, the GCF of Fractions 8958/690,3159/3222 is 3/370530
Least Common Multiple of 690,3222 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 690,3222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,3222) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(690,3222) x common factors =6 x 1 = 6
LCM(690,3222) = ( 690 × 3222 ) / 6
LCM(690,3222) = 2223180 / 6
LCM(690,3222) = 370530
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FAQs on GCF of Fractions of 8958/690, 3159/3222
1. What is the HCF of 8958,3159?
The HCF of 8958,3159 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 8958/690, 3159/3222?
Answer: GCF of Numerators as per given numbers 8958/690, 3159/3222 is
GCF of Numerators i.e. for 8958,3159 is 3
LCM of denominators i.e. for 690,3222 is 370530.
Thus, GCF of Fractions is 3/370530.Finally, GCF of Fractions for 8958/690, 3159/3222 is 3/370530.