GCF of 650/769, 700/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 650/769, 700/136 i.e 50/104584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/769, 700/136.
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 650/769,700/136?
Given fractions are 650/769,700/136
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 650/769,700/136, numerators are 650,700
Denominators are 769,136
The GCF of 650,700 is 50 .
LCM of 769,136 is 104584.
The greatest common factor of 650/769,700/136 = [GCF of 650,700]/[LCM of 769,136]= 50/104584
Therefore, the GCF of 650/769,700/136 is 50/104584.
To find the highest common factor of 650,700, we have to find the factors of both numbers and list the highest common factor.
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The HCF of 650,700 is 50.
Lets's calculate GCF of 650,700
| 2 | 650, 700 |
| 5 | 325, 350 |
| 5 | 65, 70 |
| 13, 14 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 650,700 By Matching Biggest Common Factor Method
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 650,700 . The biggest common factor number is the GCF number.
So the greatest common factor 650,700 is 50.
Lets's calculate LCM of 769,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 104584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/104584
Therefore, the GCF of Fractions 650/769,700/136 is 50/104584
Least Common Multiple of 769,136 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 769,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,136) x common factors =1 x 1 = 1
LCM(769,136) = ( 769 × 136 ) / 1
LCM(769,136) = 104584 / 1
LCM(769,136) = 104584
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FAQs on GCF of Fractions of 650/769, 700/136
1. What is the HCF of 650,700?
The HCF of 650,700 is 50
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 650/769, 700/136?
Answer: GCF of Numerators as per given numbers 650/769, 700/136 is
GCF of Numerators i.e. for 650,700 is 50
LCM of denominators i.e. for 769,136 is 104584.
Thus, GCF of Fractions is 50/104584.Finally, GCF of Fractions for 650/769, 700/136 is 50/104584.