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 5969, 8707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5969, 8707 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 5969, 8707 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 5969, 8707 is 1.
HCF(5969, 8707) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5969, 8707 is 1.
Step 1: Since 8707 > 5969, we apply the division lemma to 8707 and 5969, to get
8707 = 5969 x 1 + 2738
Step 2: Since the reminder 5969 ≠ 0, we apply division lemma to 2738 and 5969, to get
5969 = 2738 x 2 + 493
Step 3: We consider the new divisor 2738 and the new remainder 493, and apply the division lemma to get
2738 = 493 x 5 + 273
We consider the new divisor 493 and the new remainder 273,and apply the division lemma to get
493 = 273 x 1 + 220
We consider the new divisor 273 and the new remainder 220,and apply the division lemma to get
273 = 220 x 1 + 53
We consider the new divisor 220 and the new remainder 53,and apply the division lemma to get
220 = 53 x 4 + 8
We consider the new divisor 53 and the new remainder 8,and apply the division lemma to get
53 = 8 x 6 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5969 and 8707 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(53,8) = HCF(220,53) = HCF(273,220) = HCF(493,273) = HCF(2738,493) = HCF(5969,2738) = HCF(8707,5969) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5969, 8707?
Answer: HCF of 5969, 8707 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5969, 8707 using Euclid's Algorithm?
Answer: For arbitrary numbers 5969, 8707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.