Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9415, 9055 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9415, 9055 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 9415, 9055 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 9415, 9055 is 5.
HCF(9415, 9055) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9415, 9055 is 5.
Step 1: Since 9415 > 9055, we apply the division lemma to 9415 and 9055, to get
9415 = 9055 x 1 + 360
Step 2: Since the reminder 9055 ≠ 0, we apply division lemma to 360 and 9055, to get
9055 = 360 x 25 + 55
Step 3: We consider the new divisor 360 and the new remainder 55, and apply the division lemma to get
360 = 55 x 6 + 30
We consider the new divisor 55 and the new remainder 30,and apply the division lemma to get
55 = 30 x 1 + 25
We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9415 and 9055 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(55,30) = HCF(360,55) = HCF(9055,360) = HCF(9415,9055) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 9415, 9055?
Answer: HCF of 9415, 9055 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9415, 9055 using Euclid's Algorithm?
Answer: For arbitrary numbers 9415, 9055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.