Highest Common Factor of 716, 2989 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 716, 2989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 716, 2989 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 716, 2989 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 716, 2989 is 1.
HCF(716, 2989) = 1
HCF of 716, 2989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 716, 2989 is 1.
Highest Common Factor of 716,2989 is 1
Step 1: Since 2989 > 716, we apply the division lemma to 2989 and 716, to get
2989 = 716 x 4 + 125
Step 2: Since the reminder 716 ≠ 0, we apply division lemma to 125 and 716, to get
716 = 125 x 5 + 91
Step 3: We consider the new divisor 125 and the new remainder 91, and apply the division lemma to get
125 = 91 x 1 + 34
We consider the new divisor 91 and the new remainder 34,and apply the division lemma to get
91 = 34 x 2 + 23
We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get
34 = 23 x 1 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 716 and 2989 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(91,34) = HCF(125,91) = HCF(716,125) = HCF(2989,716) .
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Frequently Asked Questions on HCF of 716, 2989 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 716, 2989?
Answer: HCF of 716, 2989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 716, 2989 using Euclid's Algorithm?
Answer: For arbitrary numbers 716, 2989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.