Highest Common Factor of 824, 4701, 7484 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 824, 4701, 7484 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 4701, 7484 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 824, 4701, 7484 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 824, 4701, 7484 is 1.
HCF(824, 4701, 7484) = 1
HCF of 824, 4701, 7484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 824, 4701, 7484 is 1.
Highest Common Factor of 824,4701,7484 is 1
Step 1: Since 4701 > 824, we apply the division lemma to 4701 and 824, to get
4701 = 824 x 5 + 581
Step 2: Since the reminder 824 ≠ 0, we apply division lemma to 581 and 824, to get
824 = 581 x 1 + 243
Step 3: We consider the new divisor 581 and the new remainder 243, and apply the division lemma to get
581 = 243 x 2 + 95
We consider the new divisor 243 and the new remainder 95,and apply the division lemma to get
243 = 95 x 2 + 53
We consider the new divisor 95 and the new remainder 53,and apply the division lemma to get
95 = 53 x 1 + 42
We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get
53 = 42 x 1 + 11
We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get
42 = 11 x 3 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 824 and 4701 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(95,53) = HCF(243,95) = HCF(581,243) = HCF(824,581) = HCF(4701,824) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7484 > 1, we apply the division lemma to 7484 and 1, to get
7484 = 1 x 7484 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7484 is 1
Notice that 1 = HCF(7484,1) .
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Frequently Asked Questions on HCF of 824, 4701, 7484 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 824, 4701, 7484?
Answer: HCF of 824, 4701, 7484 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 4701, 7484 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 4701, 7484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
