Highest Common Factor of 949, 580 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 949, 580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 949, 580 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 949, 580 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 949, 580 is 1.
HCF(949, 580) = 1
HCF of 949, 580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 949, 580 is 1.
Highest Common Factor of 949,580 is 1
Step 1: Since 949 > 580, we apply the division lemma to 949 and 580, to get
949 = 580 x 1 + 369
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 369 and 580, to get
580 = 369 x 1 + 211
Step 3: We consider the new divisor 369 and the new remainder 211, and apply the division lemma to get
369 = 211 x 1 + 158
We consider the new divisor 211 and the new remainder 158,and apply the division lemma to get
211 = 158 x 1 + 53
We consider the new divisor 158 and the new remainder 53,and apply the division lemma to get
158 = 53 x 2 + 52
We consider the new divisor 53 and the new remainder 52,and apply the division lemma to get
53 = 52 x 1 + 1
We consider the new divisor 52 and the new remainder 1,and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 949 and 580 is 1
Notice that 1 = HCF(52,1) = HCF(53,52) = HCF(158,53) = HCF(211,158) = HCF(369,211) = HCF(580,369) = HCF(949,580) .
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Frequently Asked Questions on HCF of 949, 580 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 949, 580?
Answer: HCF of 949, 580 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 949, 580 using Euclid's Algorithm?
Answer: For arbitrary numbers 949, 580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.