Highest Common Factor of 820, 50604 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 820, 50604 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 820, 50604 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 820, 50604 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 820, 50604 is 4.
HCF(820, 50604) = 4
HCF of 820, 50604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 820, 50604 is 4.
Highest Common Factor of 820,50604 is 4
Step 1: Since 50604 > 820, we apply the division lemma to 50604 and 820, to get
50604 = 820 x 61 + 584
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 584 and 820, to get
820 = 584 x 1 + 236
Step 3: We consider the new divisor 584 and the new remainder 236, and apply the division lemma to get
584 = 236 x 2 + 112
We consider the new divisor 236 and the new remainder 112,and apply the division lemma to get
236 = 112 x 2 + 12
We consider the new divisor 112 and the new remainder 12,and apply the division lemma to get
112 = 12 x 9 + 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 820 and 50604 is 4
Notice that 4 = HCF(12,4) = HCF(112,12) = HCF(236,112) = HCF(584,236) = HCF(820,584) = HCF(50604,820) .
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Frequently Asked Questions on HCF of 820, 50604 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 820, 50604?
Answer: HCF of 820, 50604 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 820, 50604 using Euclid's Algorithm?
Answer: For arbitrary numbers 820, 50604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.