Highest Common Factor of 520, 416, 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 520, 416, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 416, 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 520, 416, 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 520, 416, 989 is 1.
HCF(520, 416, 989) = 1
HCF of 520, 416, 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 520, 416, 989 is 1.
Highest Common Factor of 520,416,989 is 1
Step 1: Since 520 > 416, we apply the division lemma to 520 and 416, to get
520 = 416 x 1 + 104
Step 2: Since the reminder 416 ≠ 0, we apply division lemma to 104 and 416, to get
416 = 104 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 104, the HCF of 520 and 416 is 104
Notice that 104 = HCF(416,104) = HCF(520,416) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 989 > 104, we apply the division lemma to 989 and 104, to get
989 = 104 x 9 + 53
Step 2: Since the reminder 104 ≠ 0, we apply division lemma to 53 and 104, to get
104 = 53 x 1 + 51
Step 3: We consider the new divisor 53 and the new remainder 51, and apply the division lemma to get
53 = 51 x 1 + 2
We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get
51 = 2 x 25 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 104 and 989 is 1
Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(53,51) = HCF(104,53) = HCF(989,104) .
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Frequently Asked Questions on HCF of 520, 416, 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 520, 416, 989?
Answer: HCF of 520, 416, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 416, 989 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 416, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.