Highest Common Factor of 984, 613, 958 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 984, 613, 958 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 984, 613, 958 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 984, 613, 958 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 984, 613, 958 is 1.
HCF(984, 613, 958) = 1
HCF of 984, 613, 958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 984, 613, 958 is 1.
Highest Common Factor of 984,613,958 is 1
Step 1: Since 984 > 613, we apply the division lemma to 984 and 613, to get
984 = 613 x 1 + 371
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 371 and 613, to get
613 = 371 x 1 + 242
Step 3: We consider the new divisor 371 and the new remainder 242, and apply the division lemma to get
371 = 242 x 1 + 129
We consider the new divisor 242 and the new remainder 129,and apply the division lemma to get
242 = 129 x 1 + 113
We consider the new divisor 129 and the new remainder 113,and apply the division lemma to get
129 = 113 x 1 + 16
We consider the new divisor 113 and the new remainder 16,and apply the division lemma to get
113 = 16 x 7 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 984 and 613 is 1
Notice that 1 = HCF(16,1) = HCF(113,16) = HCF(129,113) = HCF(242,129) = HCF(371,242) = HCF(613,371) = HCF(984,613) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 958 > 1, we apply the division lemma to 958 and 1, to get
958 = 1 x 958 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 958 is 1
Notice that 1 = HCF(958,1) .
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Frequently Asked Questions on HCF of 984, 613, 958 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 984, 613, 958?
Answer: HCF of 984, 613, 958 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 984, 613, 958 using Euclid's Algorithm?
Answer: For arbitrary numbers 984, 613, 958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.