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 8911, 5114 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8911, 5114 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 8911, 5114 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 8911, 5114 is 1.
HCF(8911, 5114) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8911, 5114 is 1.
Step 1: Since 8911 > 5114, we apply the division lemma to 8911 and 5114, to get
8911 = 5114 x 1 + 3797
Step 2: Since the reminder 5114 ≠ 0, we apply division lemma to 3797 and 5114, to get
5114 = 3797 x 1 + 1317
Step 3: We consider the new divisor 3797 and the new remainder 1317, and apply the division lemma to get
3797 = 1317 x 2 + 1163
We consider the new divisor 1317 and the new remainder 1163,and apply the division lemma to get
1317 = 1163 x 1 + 154
We consider the new divisor 1163 and the new remainder 154,and apply the division lemma to get
1163 = 154 x 7 + 85
We consider the new divisor 154 and the new remainder 85,and apply the division lemma to get
154 = 85 x 1 + 69
We consider the new divisor 85 and the new remainder 69,and apply the division lemma to get
85 = 69 x 1 + 16
We consider the new divisor 69 and the new remainder 16,and apply the division lemma to get
69 = 16 x 4 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8911 and 5114 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(69,16) = HCF(85,69) = HCF(154,85) = HCF(1163,154) = HCF(1317,1163) = HCF(3797,1317) = HCF(5114,3797) = HCF(8911,5114) .
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 8911, 5114?
Answer: HCF of 8911, 5114 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8911, 5114 using Euclid's Algorithm?
Answer: For arbitrary numbers 8911, 5114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.