Highest Common Factor of 8454, 4732 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 8454, 4732 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8454, 4732 is 2 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 8454, 4732 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 8454, 4732 is 2.
HCF(8454, 4732) = 2
HCF of 8454, 4732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8454, 4732 is 2.
Highest Common Factor of 8454,4732 is 2
Step 1: Since 8454 > 4732, we apply the division lemma to 8454 and 4732, to get
8454 = 4732 x 1 + 3722
Step 2: Since the reminder 4732 ≠ 0, we apply division lemma to 3722 and 4732, to get
4732 = 3722 x 1 + 1010
Step 3: We consider the new divisor 3722 and the new remainder 1010, and apply the division lemma to get
3722 = 1010 x 3 + 692
We consider the new divisor 1010 and the new remainder 692,and apply the division lemma to get
1010 = 692 x 1 + 318
We consider the new divisor 692 and the new remainder 318,and apply the division lemma to get
692 = 318 x 2 + 56
We consider the new divisor 318 and the new remainder 56,and apply the division lemma to get
318 = 56 x 5 + 38
We consider the new divisor 56 and the new remainder 38,and apply the division lemma to get
56 = 38 x 1 + 18
We consider the new divisor 38 and the new remainder 18,and apply the division lemma to get
38 = 18 x 2 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8454 and 4732 is 2
Notice that 2 = HCF(18,2) = HCF(38,18) = HCF(56,38) = HCF(318,56) = HCF(692,318) = HCF(1010,692) = HCF(3722,1010) = HCF(4732,3722) = HCF(8454,4732) .
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Frequently Asked Questions on HCF of 8454, 4732 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 8454, 4732?
Answer: HCF of 8454, 4732 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8454, 4732 using Euclid's Algorithm?
Answer: For arbitrary numbers 8454, 4732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.