Highest Common Factor of 989, 6619 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 989, 6619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 6619 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 989, 6619 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 989, 6619 is 1.
HCF(989, 6619) = 1
HCF of 989, 6619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 989, 6619 is 1.
Highest Common Factor of 989,6619 is 1
Step 1: Since 6619 > 989, we apply the division lemma to 6619 and 989, to get
6619 = 989 x 6 + 685
Step 2: Since the reminder 989 ≠ 0, we apply division lemma to 685 and 989, to get
989 = 685 x 1 + 304
Step 3: We consider the new divisor 685 and the new remainder 304, and apply the division lemma to get
685 = 304 x 2 + 77
We consider the new divisor 304 and the new remainder 77,and apply the division lemma to get
304 = 77 x 3 + 73
We consider the new divisor 77 and the new remainder 73,and apply the division lemma to get
77 = 73 x 1 + 4
We consider the new divisor 73 and the new remainder 4,and apply the division lemma to get
73 = 4 x 18 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 989 and 6619 is 1
Notice that 1 = HCF(4,1) = HCF(73,4) = HCF(77,73) = HCF(304,77) = HCF(685,304) = HCF(989,685) = HCF(6619,989) .
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Frequently Asked Questions on HCF of 989, 6619 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 989, 6619?
Answer: HCF of 989, 6619 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 6619 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 6619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.