Highest Common Factor of 871, 43272 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 871, 43272 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 43272 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 871, 43272 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 871, 43272 is 1.
HCF(871, 43272) = 1
HCF of 871, 43272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 871, 43272 is 1.
Highest Common Factor of 871,43272 is 1
Step 1: Since 43272 > 871, we apply the division lemma to 43272 and 871, to get
43272 = 871 x 49 + 593
Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 593 and 871, to get
871 = 593 x 1 + 278
Step 3: We consider the new divisor 593 and the new remainder 278, and apply the division lemma to get
593 = 278 x 2 + 37
We consider the new divisor 278 and the new remainder 37,and apply the division lemma to get
278 = 37 x 7 + 19
We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get
37 = 19 x 1 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 43272 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(278,37) = HCF(593,278) = HCF(871,593) = HCF(43272,871) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 871, 43272 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 871, 43272?
Answer: HCF of 871, 43272 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 43272 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 43272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
