Highest Common Factor of 860, 215, 507 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 860, 215, 507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 860, 215, 507 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 860, 215, 507 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 860, 215, 507 is 1.
HCF(860, 215, 507) = 1
HCF of 860, 215, 507 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 860, 215, 507 is 1.
Highest Common Factor of 860,215,507 is 1
Step 1: Since 860 > 215, we apply the division lemma to 860 and 215, to get
860 = 215 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 215, the HCF of 860 and 215 is 215
Notice that 215 = HCF(860,215) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 507 > 215, we apply the division lemma to 507 and 215, to get
507 = 215 x 2 + 77
Step 2: Since the reminder 215 ≠ 0, we apply division lemma to 77 and 215, to get
215 = 77 x 2 + 61
Step 3: We consider the new divisor 77 and the new remainder 61, and apply the division lemma to get
77 = 61 x 1 + 16
We consider the new divisor 61 and the new remainder 16,and apply the division lemma to get
61 = 16 x 3 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 215 and 507 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(61,16) = HCF(77,61) = HCF(215,77) = HCF(507,215) .
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Frequently Asked Questions on HCF of 860, 215, 507 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 860, 215, 507?
Answer: HCF of 860, 215, 507 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 860, 215, 507 using Euclid's Algorithm?
Answer: For arbitrary numbers 860, 215, 507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.