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 1171, 4150 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1171, 4150 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 1171, 4150 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 1171, 4150 is 1.
HCF(1171, 4150) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1171, 4150 is 1.
Step 1: Since 4150 > 1171, we apply the division lemma to 4150 and 1171, to get
4150 = 1171 x 3 + 637
Step 2: Since the reminder 1171 ≠ 0, we apply division lemma to 637 and 1171, to get
1171 = 637 x 1 + 534
Step 3: We consider the new divisor 637 and the new remainder 534, and apply the division lemma to get
637 = 534 x 1 + 103
We consider the new divisor 534 and the new remainder 103,and apply the division lemma to get
534 = 103 x 5 + 19
We consider the new divisor 103 and the new remainder 19,and apply the division lemma to get
103 = 19 x 5 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 1171 and 4150 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(103,19) = HCF(534,103) = HCF(637,534) = HCF(1171,637) = HCF(4150,1171) .
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 1171, 4150?
Answer: HCF of 1171, 4150 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1171, 4150 using Euclid's Algorithm?
Answer: For arbitrary numbers 1171, 4150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.