Highest Common Factor of 982, 600 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 982, 600 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 600 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 982, 600 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 982, 600 is 2.
HCF(982, 600) = 2
HCF of 982, 600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 600 is 2.
Highest Common Factor of 982,600 is 2
Step 1: Since 982 > 600, we apply the division lemma to 982 and 600, to get
982 = 600 x 1 + 382
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 382 and 600, to get
600 = 382 x 1 + 218
Step 3: We consider the new divisor 382 and the new remainder 218, and apply the division lemma to get
382 = 218 x 1 + 164
We consider the new divisor 218 and the new remainder 164,and apply the division lemma to get
218 = 164 x 1 + 54
We consider the new divisor 164 and the new remainder 54,and apply the division lemma to get
164 = 54 x 3 + 2
We consider the new divisor 54 and the new remainder 2,and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 982 and 600 is 2
Notice that 2 = HCF(54,2) = HCF(164,54) = HCF(218,164) = HCF(382,218) = HCF(600,382) = HCF(982,600) .
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Frequently Asked Questions on HCF of 982, 600 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 982, 600?
Answer: HCF of 982, 600 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.