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 6921, 587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6921, 587 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 6921, 587 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 6921, 587 is 1.
HCF(6921, 587) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6921, 587 is 1.
Step 1: Since 6921 > 587, we apply the division lemma to 6921 and 587, to get
6921 = 587 x 11 + 464
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 464 and 587, to get
587 = 464 x 1 + 123
Step 3: We consider the new divisor 464 and the new remainder 123, and apply the division lemma to get
464 = 123 x 3 + 95
We consider the new divisor 123 and the new remainder 95,and apply the division lemma to get
123 = 95 x 1 + 28
We consider the new divisor 95 and the new remainder 28,and apply the division lemma to get
95 = 28 x 3 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6921 and 587 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(95,28) = HCF(123,95) = HCF(464,123) = HCF(587,464) = HCF(6921,587) .
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 6921, 587?
Answer: HCF of 6921, 587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6921, 587 using Euclid's Algorithm?
Answer: For arbitrary numbers 6921, 587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.