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 567, 157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 157 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 567, 157 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 567, 157 is 1.
HCF(567, 157) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 157 is 1.
Step 1: Since 567 > 157, we apply the division lemma to 567 and 157, to get
567 = 157 x 3 + 96
Step 2: Since the reminder 157 ≠ 0, we apply division lemma to 96 and 157, to get
157 = 96 x 1 + 61
Step 3: We consider the new divisor 96 and the new remainder 61, and apply the division lemma to get
96 = 61 x 1 + 35
We consider the new divisor 61 and the new remainder 35,and apply the division lemma to get
61 = 35 x 1 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 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 567 and 157 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(61,35) = HCF(96,61) = HCF(157,96) = HCF(567,157) .
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 567, 157?
Answer: HCF of 567, 157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 157 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.