Highest Common Factor of 1156, 8912 using Euclid's algorithm
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 1156, 8912 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1156, 8912 is 4 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 1156, 8912 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 1156, 8912 is 4.
HCF(1156, 8912) = 4
HCF of 1156, 8912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1156, 8912 is 4.
Highest Common Factor of 1156,8912 is 4
Step 1: Since 8912 > 1156, we apply the division lemma to 8912 and 1156, to get
8912 = 1156 x 7 + 820
Step 2: Since the reminder 1156 ≠ 0, we apply division lemma to 820 and 1156, to get
1156 = 820 x 1 + 336
Step 3: We consider the new divisor 820 and the new remainder 336, and apply the division lemma to get
820 = 336 x 2 + 148
We consider the new divisor 336 and the new remainder 148,and apply the division lemma to get
336 = 148 x 2 + 40
We consider the new divisor 148 and the new remainder 40,and apply the division lemma to get
148 = 40 x 3 + 28
We consider the new divisor 40 and the new remainder 28,and apply the division lemma to get
40 = 28 x 1 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1156 and 8912 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(40,28) = HCF(148,40) = HCF(336,148) = HCF(820,336) = HCF(1156,820) = HCF(8912,1156) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1156, 8912 using Euclid's Algorithm
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 1156, 8912?
Answer: HCF of 1156, 8912 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1156, 8912 using Euclid's Algorithm?
Answer: For arbitrary numbers 1156, 8912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
