Highest Common Factor of 918, 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 918, 580 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 580 is 2 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 918, 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 918, 580 is 2.
HCF(918, 580) = 2
HCF of 918, 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 918, 580 is 2.
Highest Common Factor of 918,580 is 2
Step 1: Since 918 > 580, we apply the division lemma to 918 and 580, to get
918 = 580 x 1 + 338
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 338 and 580, to get
580 = 338 x 1 + 242
Step 3: We consider the new divisor 338 and the new remainder 242, and apply the division lemma to get
338 = 242 x 1 + 96
We consider the new divisor 242 and the new remainder 96,and apply the division lemma to get
242 = 96 x 2 + 50
We consider the new divisor 96 and the new remainder 50,and apply the division lemma to get
96 = 50 x 1 + 46
We consider the new divisor 50 and the new remainder 46,and apply the division lemma to get
50 = 46 x 1 + 4
We consider the new divisor 46 and the new remainder 4,and apply the division lemma to get
46 = 4 x 11 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 918 and 580 is 2
Notice that 2 = HCF(4,2) = HCF(46,4) = HCF(50,46) = HCF(96,50) = HCF(242,96) = HCF(338,242) = HCF(580,338) = HCF(918,580) .
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Frequently Asked Questions on HCF of 918, 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 918, 580?
Answer: HCF of 918, 580 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 580 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
