Highest Common Factor of 886, 15572 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 886, 15572 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 886, 15572 is 2 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 886, 15572 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 886, 15572 is 2.
HCF(886, 15572) = 2
HCF of 886, 15572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 886, 15572 is 2.
Highest Common Factor of 886,15572 is 2
Step 1: Since 15572 > 886, we apply the division lemma to 15572 and 886, to get
15572 = 886 x 17 + 510
Step 2: Since the reminder 886 ≠ 0, we apply division lemma to 510 and 886, to get
886 = 510 x 1 + 376
Step 3: We consider the new divisor 510 and the new remainder 376, and apply the division lemma to get
510 = 376 x 1 + 134
We consider the new divisor 376 and the new remainder 134,and apply the division lemma to get
376 = 134 x 2 + 108
We consider the new divisor 134 and the new remainder 108,and apply the division lemma to get
134 = 108 x 1 + 26
We consider the new divisor 108 and the new remainder 26,and apply the division lemma to get
108 = 26 x 4 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 15572 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(108,26) = HCF(134,108) = HCF(376,134) = HCF(510,376) = HCF(886,510) = HCF(15572,886) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 886, 15572 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 886, 15572?
Answer: HCF of 886, 15572 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 886, 15572 using Euclid's Algorithm?
Answer: For arbitrary numbers 886, 15572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.