Highest Common Factor of 620, 984 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 620, 984 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 620, 984 is 4 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 620, 984 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 620, 984 is 4.
HCF(620, 984) = 4
HCF of 620, 984 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 620, 984 is 4.
Highest Common Factor of 620,984 is 4
Step 1: Since 984 > 620, we apply the division lemma to 984 and 620, to get
984 = 620 x 1 + 364
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 364 and 620, to get
620 = 364 x 1 + 256
Step 3: We consider the new divisor 364 and the new remainder 256, and apply the division lemma to get
364 = 256 x 1 + 108
We consider the new divisor 256 and the new remainder 108,and apply the division lemma to get
256 = 108 x 2 + 40
We consider the new divisor 108 and the new remainder 40,and apply the division lemma to get
108 = 40 x 2 + 28
We consider the new divisor 40 and the new remainder 28,and apply the division lemma to get
40 = 28 x 1 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 620 and 984 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(40,28) = HCF(108,40) = HCF(256,108) = HCF(364,256) = HCF(620,364) = HCF(984,620) .
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Frequently Asked Questions on HCF of 620, 984 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 620, 984?
Answer: HCF of 620, 984 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 620, 984 using Euclid's Algorithm?
Answer: For arbitrary numbers 620, 984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.