Highest Common Factor of 7639, 8586, 36077 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 7639, 8586, 36077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7639, 8586, 36077 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 7639, 8586, 36077 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 7639, 8586, 36077 is 1.
HCF(7639, 8586, 36077) = 1
HCF of 7639, 8586, 36077 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7639, 8586, 36077 is 1.
Highest Common Factor of 7639,8586,36077 is 1
Step 1: Since 8586 > 7639, we apply the division lemma to 8586 and 7639, to get
8586 = 7639 x 1 + 947
Step 2: Since the reminder 7639 ≠ 0, we apply division lemma to 947 and 7639, to get
7639 = 947 x 8 + 63
Step 3: We consider the new divisor 947 and the new remainder 63, and apply the division lemma to get
947 = 63 x 15 + 2
We consider the new divisor 63 and the new remainder 2,and apply the division lemma to get
63 = 2 x 31 + 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 7639 and 8586 is 1
Notice that 1 = HCF(2,1) = HCF(63,2) = HCF(947,63) = HCF(7639,947) = HCF(8586,7639) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36077 > 1, we apply the division lemma to 36077 and 1, to get
36077 = 1 x 36077 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36077 is 1
Notice that 1 = HCF(36077,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7639, 8586, 36077 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 7639, 8586, 36077?
Answer: HCF of 7639, 8586, 36077 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7639, 8586, 36077 using Euclid's Algorithm?
Answer: For arbitrary numbers 7639, 8586, 36077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.