GCF of 5455/322, 8010/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5455/322, 8010/688 i.e 5/110768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5455/322, 8010/688.
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 5455/322,8010/688?
Given fractions are 5455/322,8010/688
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 5455/322,8010/688, numerators are 5455,8010
Denominators are 322,688
The GCF of 5455,8010 is 5 .
LCM of 322,688 is 110768.
The greatest common factor of 5455/322,8010/688 = [GCF of 5455,8010]/[LCM of 322,688]= 5/110768
Therefore, the GCF of 5455/322,8010/688 is 5/110768.
To find the highest common factor of 5455,8010, we have to find the factors of both numbers and list the highest common factor.
The factors of 5455 are 1, 5, 1091, 5455
The factors of 8010 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010
The HCF of 5455,8010 is 5.
Lets's calculate GCF of 5455,8010
| 5 | 5455, 8010 |
| 1091, 1602 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5455,8010 By Matching Biggest Common Factor Method
Now, list down the factors of 5455
:1,5,1091,5455
Now, list down the factors of 8010
:1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010
Greatest Common Factor
We found the factors 5455,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 5455,8010 is 5.
Lets's calculate LCM of 322,688
| 2 | 322, 688 |
| 161, 344 |
∴ So the LCM of the given numbers is 2 x 161 x 344 = 110768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/110768
Therefore, the GCF of Fractions 5455/322,8010/688 is 5/110768
Least Common Multiple of 322,688 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 322,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,688) x common factors =2 x 1 = 2
LCM(322,688) = ( 322 × 688 ) / 2
LCM(322,688) = 221536 / 2
LCM(322,688) = 110768
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FAQs on GCF of Fractions of 5455/322, 8010/688
1. What is the HCF of 5455,8010?
The HCF of 5455,8010 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 5455/322, 8010/688?
Answer: GCF of Numerators as per given numbers 5455/322, 8010/688 is
GCF of Numerators i.e. for 5455,8010 is 5
LCM of denominators i.e. for 322,688 is 110768.
Thus, GCF of Fractions is 5/110768.Finally, GCF of Fractions for 5455/322, 8010/688 is 5/110768.