Highest Common Factor of 977, 588 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 977, 588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 977, 588 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 977, 588 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 977, 588 is 1.
HCF(977, 588) = 1
HCF of 977, 588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 977, 588 is 1.
Highest Common Factor of 977,588 is 1
Step 1: Since 977 > 588, we apply the division lemma to 977 and 588, to get
977 = 588 x 1 + 389
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 389 and 588, to get
588 = 389 x 1 + 199
Step 3: We consider the new divisor 389 and the new remainder 199, and apply the division lemma to get
389 = 199 x 1 + 190
We consider the new divisor 199 and the new remainder 190,and apply the division lemma to get
199 = 190 x 1 + 9
We consider the new divisor 190 and the new remainder 9,and apply the division lemma to get
190 = 9 x 21 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 588 is 1
Notice that 1 = HCF(9,1) = HCF(190,9) = HCF(199,190) = HCF(389,199) = HCF(588,389) = HCF(977,588) .
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Frequently Asked Questions on HCF of 977, 588 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 977, 588?
Answer: HCF of 977, 588 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 977, 588 using Euclid's Algorithm?
Answer: For arbitrary numbers 977, 588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.