Highest Common Factor of 4584, 7432 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 4584, 7432 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4584, 7432 is 8 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 4584, 7432 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 4584, 7432 is 8.
HCF(4584, 7432) = 8
HCF of 4584, 7432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4584, 7432 is 8.
Highest Common Factor of 4584,7432 is 8
Step 1: Since 7432 > 4584, we apply the division lemma to 7432 and 4584, to get
7432 = 4584 x 1 + 2848
Step 2: Since the reminder 4584 ≠ 0, we apply division lemma to 2848 and 4584, to get
4584 = 2848 x 1 + 1736
Step 3: We consider the new divisor 2848 and the new remainder 1736, and apply the division lemma to get
2848 = 1736 x 1 + 1112
We consider the new divisor 1736 and the new remainder 1112,and apply the division lemma to get
1736 = 1112 x 1 + 624
We consider the new divisor 1112 and the new remainder 624,and apply the division lemma to get
1112 = 624 x 1 + 488
We consider the new divisor 624 and the new remainder 488,and apply the division lemma to get
624 = 488 x 1 + 136
We consider the new divisor 488 and the new remainder 136,and apply the division lemma to get
488 = 136 x 3 + 80
We consider the new divisor 136 and the new remainder 80,and apply the division lemma to get
136 = 80 x 1 + 56
We consider the new divisor 80 and the new remainder 56,and apply the division lemma to get
80 = 56 x 1 + 24
We consider the new divisor 56 and the new remainder 24,and apply the division lemma to get
56 = 24 x 2 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4584 and 7432 is 8
Notice that 8 = HCF(24,8) = HCF(56,24) = HCF(80,56) = HCF(136,80) = HCF(488,136) = HCF(624,488) = HCF(1112,624) = HCF(1736,1112) = HCF(2848,1736) = HCF(4584,2848) = HCF(7432,4584) .
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Frequently Asked Questions on HCF of 4584, 7432 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 4584, 7432?
Answer: HCF of 4584, 7432 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4584, 7432 using Euclid's Algorithm?
Answer: For arbitrary numbers 4584, 7432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.