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 921, 56572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 921, 56572 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 921, 56572 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 921, 56572 is 1.
HCF(921, 56572) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 921, 56572 is 1.
Step 1: Since 56572 > 921, we apply the division lemma to 56572 and 921, to get
56572 = 921 x 61 + 391
Step 2: Since the reminder 921 ≠ 0, we apply division lemma to 391 and 921, to get
921 = 391 x 2 + 139
Step 3: We consider the new divisor 391 and the new remainder 139, and apply the division lemma to get
391 = 139 x 2 + 113
We consider the new divisor 139 and the new remainder 113,and apply the division lemma to get
139 = 113 x 1 + 26
We consider the new divisor 113 and the new remainder 26,and apply the division lemma to get
113 = 26 x 4 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 921 and 56572 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(113,26) = HCF(139,113) = HCF(391,139) = HCF(921,391) = HCF(56572,921) .
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 921, 56572?
Answer: HCF of 921, 56572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 921, 56572 using Euclid's Algorithm?
Answer: For arbitrary numbers 921, 56572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.