GCF of 658/149, 802/285, 114/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 658/149, 802/285, 114/649 i.e 2/27559785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 658/149, 802/285, 114/649.
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 658/149,802/285,114/649?
Given fractions are 658/149,802/285,114/649
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 658/149,802/285,114/649, numerators are 658,802,114
Denominators are 149,285,649
The GCF of 658,802,114 is 2 .
LCM of 149,285,649 is 27559785.
The greatest common factor of 658/149,802/285,114/649 = [GCF of 658,802,114]/[LCM of 149,285,649]= 2/27559785
Therefore, the GCF of 658/149,802/285,114/649 is 2/27559785.
To find the highest common factor of 658,802,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The factors of 802 are 1, 2, 401, 802
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 658,802,114 is 2.
Lets's calculate GCF of 658,802,114
| 2 | 658, 802, 114 |
| 329, 401, 57 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 658,802,114 By Matching Biggest Common Factor Method
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 658,802,114 . The biggest common factor number is the GCF number.
So the greatest common factor 658,802,114 is 2.
Lets's calculate LCM of 149,285,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 27559785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27559785
Therefore, the GCF of Fractions 658/149,802/285,114/649 is 2/27559785
Least Common Multiple of 149,285,649 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 149,285,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,285,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,285,649) x common factors =1 x 1 = 1
LCM(149,285,649) = ( 149 × 285 × 649 ) / 1
LCM(149,285,649) = 27559785 / 1
LCM(149,285,649) = 27559785
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FAQs on GCF of Fractions of 658/149, 802/285, 114/649
1. What is the HCF of 658,802,114?
The HCF of 658,802,114 is 2
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 658/149, 802/285, 114/649?
Answer: GCF of Numerators as per given numbers 658/149, 802/285, 114/649 is
GCF of Numerators i.e. for 658,802,114 is 2
LCM of denominators i.e. for 149,285,649 is 27559785.
Thus, GCF of Fractions is 2/27559785.Finally, GCF of Fractions for 658/149, 802/285, 114/649 is 2/27559785.