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 9108, 8255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9108, 8255 is 1 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 9108, 8255 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 9108, 8255 is 1.
HCF(9108, 8255) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9108, 8255 is 1.
Step 1: Since 9108 > 8255, we apply the division lemma to 9108 and 8255, to get
9108 = 8255 x 1 + 853
Step 2: Since the reminder 8255 ≠ 0, we apply division lemma to 853 and 8255, to get
8255 = 853 x 9 + 578
Step 3: We consider the new divisor 853 and the new remainder 578, and apply the division lemma to get
853 = 578 x 1 + 275
We consider the new divisor 578 and the new remainder 275,and apply the division lemma to get
578 = 275 x 2 + 28
We consider the new divisor 275 and the new remainder 28,and apply the division lemma to get
275 = 28 x 9 + 23
We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get
28 = 23 x 1 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9108 and 8255 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(275,28) = HCF(578,275) = HCF(853,578) = HCF(8255,853) = HCF(9108,8255) .
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 9108, 8255?
Answer: HCF of 9108, 8255 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9108, 8255 using Euclid's Algorithm?
Answer: For arbitrary numbers 9108, 8255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.