GCF of 919/85, 919/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 919/85, 919/880 i.e 919/14960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/85, 919/880.
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 919/85,919/880?
Given fractions are 919/85,919/880
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 919/85,919/880, numerators are 919,919
Denominators are 85,880
The GCF of 919,919 is 919 .
LCM of 85,880 is 14960.
The greatest common factor of 919/85,919/880 = [GCF of 919,919]/[LCM of 85,880]= 919/14960
Therefore, the GCF of 919/85,919/880 is 919/14960.
To find the highest common factor of 919,919, we have to find the factors of both numbers and list the highest common factor.
The factors of 919 are 1, 919
The factors of 919 are 1, 919
The HCF of 919,919 is 919.
Lets's calculate GCF of 919,919
| 919 | 919, 919 |
| 1, 1 |
∴ So the GCF of the given numbers is 919 = 919
Greatest Common Factor of 919,919 By Matching Biggest Common Factor Method
Now, list down the factors of 919
:1,919
Now, list down the factors of 919
:1,919
Greatest Common Factor
We found the factors 919,919 . The biggest common factor number is the GCF number.
So the greatest common factor 919,919 is 919.
Lets's calculate LCM of 85,880
| 5 | 85, 880 |
| 17, 176 |
∴ So the LCM of the given numbers is 5 x 17 x 176 = 14960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 919/14960
Therefore, the GCF of Fractions 919/85,919/880 is 919/14960
Least Common Multiple of 85,880 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 85,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,880) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(85,880) x common factors =5 x 1 = 5
LCM(85,880) = ( 85 × 880 ) / 5
LCM(85,880) = 74800 / 5
LCM(85,880) = 14960
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FAQs on GCF of Fractions of 919/85, 919/880
1. What is the HCF of 919,919?
The HCF of 919,919 is 919
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 919/85, 919/880?
Answer: GCF of Numerators as per given numbers 919/85, 919/880 is
GCF of Numerators i.e. for 919,919 is 919
LCM of denominators i.e. for 85,880 is 14960.
Thus, GCF of Fractions is 919/14960.Finally, GCF of Fractions for 919/85, 919/880 is 919/14960.