Highest Common Factor of 5022, 1989 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 5022, 1989 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 5022, 1989 is 9 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 5022, 1989 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 5022, 1989 is 9.
HCF(5022, 1989) = 9
HCF of 5022, 1989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5022, 1989 is 9.
Highest Common Factor of 5022,1989 is 9
Step 1: Since 5022 > 1989, we apply the division lemma to 5022 and 1989, to get
5022 = 1989 x 2 + 1044
Step 2: Since the reminder 1989 ≠ 0, we apply division lemma to 1044 and 1989, to get
1989 = 1044 x 1 + 945
Step 3: We consider the new divisor 1044 and the new remainder 945, and apply the division lemma to get
1044 = 945 x 1 + 99
We consider the new divisor 945 and the new remainder 99,and apply the division lemma to get
945 = 99 x 9 + 54
We consider the new divisor 99 and the new remainder 54,and apply the division lemma to get
99 = 54 x 1 + 45
We consider the new divisor 54 and the new remainder 45,and apply the division lemma to get
54 = 45 x 1 + 9
We consider the new divisor 45 and the new remainder 9,and apply the division lemma to get
45 = 9 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 5022 and 1989 is 9
Notice that 9 = HCF(45,9) = HCF(54,45) = HCF(99,54) = HCF(945,99) = HCF(1044,945) = HCF(1989,1044) = HCF(5022,1989) .
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Frequently Asked Questions on HCF of 5022, 1989 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 5022, 1989?
Answer: HCF of 5022, 1989 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5022, 1989 using Euclid's Algorithm?
Answer: For arbitrary numbers 5022, 1989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.