Highest Common Factor of 870, 9539, 5706 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 870, 9539, 5706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 870, 9539, 5706 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 870, 9539, 5706 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 870, 9539, 5706 is 1.
HCF(870, 9539, 5706) = 1
HCF of 870, 9539, 5706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 870, 9539, 5706 is 1.
Highest Common Factor of 870,9539,5706 is 1
Step 1: Since 9539 > 870, we apply the division lemma to 9539 and 870, to get
9539 = 870 x 10 + 839
Step 2: Since the reminder 870 ≠ 0, we apply division lemma to 839 and 870, to get
870 = 839 x 1 + 31
Step 3: We consider the new divisor 839 and the new remainder 31, and apply the division lemma to get
839 = 31 x 27 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 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 870 and 9539 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(839,31) = HCF(870,839) = HCF(9539,870) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5706 > 1, we apply the division lemma to 5706 and 1, to get
5706 = 1 x 5706 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5706 is 1
Notice that 1 = HCF(5706,1) .
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Frequently Asked Questions on HCF of 870, 9539, 5706 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 870, 9539, 5706?
Answer: HCF of 870, 9539, 5706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 870, 9539, 5706 using Euclid's Algorithm?
Answer: For arbitrary numbers 870, 9539, 5706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.