Highest Common Factor of 578, 989 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 578, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 578, 989 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 578, 989 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 578, 989 is 1.
HCF(578, 989) = 1
HCF of 578, 989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 578, 989 is 1.
Highest Common Factor of 578,989 is 1
Step 1: Since 989 > 578, we apply the division lemma to 989 and 578, to get
989 = 578 x 1 + 411
Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 411 and 578, to get
578 = 411 x 1 + 167
Step 3: We consider the new divisor 411 and the new remainder 167, and apply the division lemma to get
411 = 167 x 2 + 77
We consider the new divisor 167 and the new remainder 77,and apply the division lemma to get
167 = 77 x 2 + 13
We consider the new divisor 77 and the new remainder 13,and apply the division lemma to get
77 = 13 x 5 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 578 and 989 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(77,13) = HCF(167,77) = HCF(411,167) = HCF(578,411) = HCF(989,578) .
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Frequently Asked Questions on HCF of 578, 989 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 578, 989?
Answer: HCF of 578, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 578, 989 using Euclid's Algorithm?
Answer: For arbitrary numbers 578, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
