Highest Common Factor of 496, 916, 983 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 496, 916, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 916, 983 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 496, 916, 983 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 496, 916, 983 is 1.
HCF(496, 916, 983) = 1
HCF of 496, 916, 983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 916, 983 is 1.
Highest Common Factor of 496,916,983 is 1
Step 1: Since 916 > 496, we apply the division lemma to 916 and 496, to get
916 = 496 x 1 + 420
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 420 and 496, to get
496 = 420 x 1 + 76
Step 3: We consider the new divisor 420 and the new remainder 76, and apply the division lemma to get
420 = 76 x 5 + 40
We consider the new divisor 76 and the new remainder 40,and apply the division lemma to get
76 = 40 x 1 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 496 and 916 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(76,40) = HCF(420,76) = HCF(496,420) = HCF(916,496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 983 > 4, we apply the division lemma to 983 and 4, to get
983 = 4 x 245 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 983 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(983,4) .
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Frequently Asked Questions on HCF of 496, 916, 983 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 496, 916, 983?
Answer: HCF of 496, 916, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 916, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 916, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
