Highest Common Factor of 590, 944, 598 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 590, 944, 598 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 590, 944, 598 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 590, 944, 598 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 590, 944, 598 is 2.
HCF(590, 944, 598) = 2
HCF of 590, 944, 598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 590, 944, 598 is 2.
Highest Common Factor of 590,944,598 is 2
Step 1: Since 944 > 590, we apply the division lemma to 944 and 590, to get
944 = 590 x 1 + 354
Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 354 and 590, to get
590 = 354 x 1 + 236
Step 3: We consider the new divisor 354 and the new remainder 236, and apply the division lemma to get
354 = 236 x 1 + 118
We consider the new divisor 236 and the new remainder 118, and apply the division lemma to get
236 = 118 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 118, the HCF of 590 and 944 is 118
Notice that 118 = HCF(236,118) = HCF(354,236) = HCF(590,354) = HCF(944,590) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 598 > 118, we apply the division lemma to 598 and 118, to get
598 = 118 x 5 + 8
Step 2: Since the reminder 118 ≠ 0, we apply division lemma to 8 and 118, to get
118 = 8 x 14 + 6
Step 3: We consider the new divisor 8 and the new remainder 6, and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 118 and 598 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(118,8) = HCF(598,118) .
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Frequently Asked Questions on HCF of 590, 944, 598 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 590, 944, 598?
Answer: HCF of 590, 944, 598 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 590, 944, 598 using Euclid's Algorithm?
Answer: For arbitrary numbers 590, 944, 598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.