GCF of 886/88, 114/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/88, 114/545 i.e 2/47960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/88, 114/545.
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 886/88,114/545?
Given fractions are 886/88,114/545
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 886/88,114/545, numerators are 886,114
Denominators are 88,545
The GCF of 886,114 is 2 .
LCM of 88,545 is 47960.
The greatest common factor of 886/88,114/545 = [GCF of 886,114]/[LCM of 88,545]= 2/47960
Therefore, the GCF of 886/88,114/545 is 2/47960.
To find the highest common factor of 886,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 886,114 is 2.
Lets's calculate GCF of 886,114
| 2 | 886, 114 |
| 443, 57 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,114 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 886,114 . The biggest common factor number is the GCF number.
So the greatest common factor 886,114 is 2.
Lets's calculate LCM of 88,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 47960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47960
Therefore, the GCF of Fractions 886/88,114/545 is 2/47960
Least Common Multiple of 88,545 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 88,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,545) x common factors =1 x 1 = 1
LCM(88,545) = ( 88 × 545 ) / 1
LCM(88,545) = 47960 / 1
LCM(88,545) = 47960
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FAQs on GCF of Fractions of 886/88, 114/545
1. What is the HCF of 886,114?
The HCF of 886,114 is 2
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 886/88, 114/545?
Answer: GCF of Numerators as per given numbers 886/88, 114/545 is
GCF of Numerators i.e. for 886,114 is 2
LCM of denominators i.e. for 88,545 is 47960.
Thus, GCF of Fractions is 2/47960.Finally, GCF of Fractions for 886/88, 114/545 is 2/47960.