GCF of 190/65, 735/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/65, 735/769 i.e 5/49985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/65, 735/769.
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 190/65,735/769?
Given fractions are 190/65,735/769
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 190/65,735/769, numerators are 190,735
Denominators are 65,769
The GCF of 190,735 is 5 .
LCM of 65,769 is 49985.
The greatest common factor of 190/65,735/769 = [GCF of 190,735]/[LCM of 65,769]= 5/49985
Therefore, the GCF of 190/65,735/769 is 5/49985.
To find the highest common factor of 190,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 190,735 is 5.
Lets's calculate GCF of 190,735
| 5 | 190, 735 |
| 38, 147 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 190,735 By Matching Biggest Common Factor Method
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 190,735 . The biggest common factor number is the GCF number.
So the greatest common factor 190,735 is 5.
Lets's calculate LCM of 65,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 49985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/49985
Therefore, the GCF of Fractions 190/65,735/769 is 5/49985
Least Common Multiple of 65,769 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 65,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,769) x common factors =1 x 1 = 1
LCM(65,769) = ( 65 × 769 ) / 1
LCM(65,769) = 49985 / 1
LCM(65,769) = 49985
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FAQs on GCF of Fractions of 190/65, 735/769
1. What is the HCF of 190,735?
The HCF of 190,735 is 5
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 190/65, 735/769?
Answer: GCF of Numerators as per given numbers 190/65, 735/769 is
GCF of Numerators i.e. for 190,735 is 5
LCM of denominators i.e. for 65,769 is 49985.
Thus, GCF of Fractions is 5/49985.Finally, GCF of Fractions for 190/65, 735/769 is 5/49985.