GCF of 110/108, 847/543, 567/888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/108, 847/543, 567/888 i.e 1/1446552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/108, 847/543, 567/888.
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 110/108,847/543,567/888?
Given fractions are 110/108,847/543,567/888
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 110/108,847/543,567/888, numerators are 110,847,567
Denominators are 108,543,888
The GCF of 110,847,567 is 1 .
LCM of 108,543,888 is 1446552.
The greatest common factor of 110/108,847/543,567/888 = [GCF of 110,847,567]/[LCM of 108,543,888]= 1/1446552
Therefore, the GCF of 110/108,847/543,567/888 is 1/1446552.
To find the highest common factor of 110,847,567, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 847 are 1, 7, 11, 77, 121, 847
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The HCF of 110,847,567 is 1.
Lets's calculate GCF of 110,847,567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 110,847,567 By Matching Biggest Common Factor Method
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 847
:1,7,11,77,121,847
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 110,847,567 . The biggest common factor number is the GCF number.
So the greatest common factor 110,847,567 is 1.
Lets's calculate LCM of 108,543,888
| 2 | 108, 543, 888 |
| 2 | 54, 543, 444 |
| 3 | 27, 543, 222 |
| 9, 181, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 181 x 74 = 1446552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1446552
Therefore, the GCF of Fractions 110/108,847/543,567/888 is 1/1446552
Least Common Multiple of 108,543,888 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 108,543,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,543,888) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(108,543,888) x common factors =3 x 12 = 36
LCM(108,543,888) = ( 108 × 543 × 888 ) / 36
LCM(108,543,888) = 52075872 / 36
LCM(108,543,888) = 1446552
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FAQs on GCF of Fractions of 110/108, 847/543, 567/888
1. What is the HCF of 110,847,567?
The HCF of 110,847,567 is 1
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 110/108, 847/543, 567/888?
Answer: GCF of Numerators as per given numbers 110/108, 847/543, 567/888 is
GCF of Numerators i.e. for 110,847,567 is 1
LCM of denominators i.e. for 108,543,888 is 1446552.
Thus, GCF of Fractions is 1/1446552.Finally, GCF of Fractions for 110/108, 847/543, 567/888 is 1/1446552.