Highest Common Factor of 979, 2000 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 979, 2000 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 979, 2000 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 979, 2000 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 979, 2000 is 1.
HCF(979, 2000) = 1
HCF of 979, 2000 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 979, 2000 is 1.
Highest Common Factor of 979,2000 is 1
Step 1: Since 2000 > 979, we apply the division lemma to 2000 and 979, to get
2000 = 979 x 2 + 42
Step 2: Since the reminder 979 ≠ 0, we apply division lemma to 42 and 979, to get
979 = 42 x 23 + 13
Step 3: We consider the new divisor 42 and the new remainder 13, and apply the division lemma to get
42 = 13 x 3 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 2000 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(979,42) = HCF(2000,979) .
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Frequently Asked Questions on HCF of 979, 2000 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 979, 2000?
Answer: HCF of 979, 2000 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 979, 2000 using Euclid's Algorithm?
Answer: For arbitrary numbers 979, 2000 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.