Highest Common Factor of 649, 989 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 649, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 649, 989 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 649, 989 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 649, 989 is 1.
HCF(649, 989) = 1
HCF of 649, 989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 649, 989 is 1.
Highest Common Factor of 649,989 is 1
Step 1: Since 989 > 649, we apply the division lemma to 989 and 649, to get
989 = 649 x 1 + 340
Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 340 and 649, to get
649 = 340 x 1 + 309
Step 3: We consider the new divisor 340 and the new remainder 309, and apply the division lemma to get
340 = 309 x 1 + 31
We consider the new divisor 309 and the new remainder 31,and apply the division lemma to get
309 = 31 x 9 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 649 and 989 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(309,31) = HCF(340,309) = HCF(649,340) = HCF(989,649) .
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Frequently Asked Questions on HCF of 649, 989 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 649, 989?
Answer: HCF of 649, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 649, 989 using Euclid's Algorithm?
Answer: For arbitrary numbers 649, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.