GCF of 880/342, 1305/955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/342, 1305/955 i.e 5/326610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/342, 1305/955.
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 880/342,1305/955?
Given fractions are 880/342,1305/955
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 880/342,1305/955, numerators are 880,1305
Denominators are 342,955
The GCF of 880,1305 is 5 .
LCM of 342,955 is 326610.
The greatest common factor of 880/342,1305/955 = [GCF of 880,1305]/[LCM of 342,955]= 5/326610
Therefore, the GCF of 880/342,1305/955 is 5/326610.
To find the highest common factor of 880,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 880,1305 is 5.
Lets's calculate GCF of 880,1305
| 5 | 880, 1305 |
| 176, 261 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 880,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 880,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 880,1305 is 5.
Lets's calculate LCM of 342,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 326610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/326610
Therefore, the GCF of Fractions 880/342,1305/955 is 5/326610
Least Common Multiple of 342,955 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 342,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,955) x common factors =1 x 1 = 1
LCM(342,955) = ( 342 × 955 ) / 1
LCM(342,955) = 326610 / 1
LCM(342,955) = 326610
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FAQs on GCF of Fractions of 880/342, 1305/955
1. What is the HCF of 880,1305?
The HCF of 880,1305 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 880/342, 1305/955?
Answer: GCF of Numerators as per given numbers 880/342, 1305/955 is
GCF of Numerators i.e. for 880,1305 is 5
LCM of denominators i.e. for 342,955 is 326610.
Thus, GCF of Fractions is 5/326610.Finally, GCF of Fractions for 880/342, 1305/955 is 5/326610.