Highest Common Factor of 992, 4501 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 992, 4501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 4501 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 992, 4501 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 992, 4501 is 1.
HCF(992, 4501) = 1
HCF of 992, 4501 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 4501 is 1.
Highest Common Factor of 992,4501 is 1
Step 1: Since 4501 > 992, we apply the division lemma to 4501 and 992, to get
4501 = 992 x 4 + 533
Step 2: Since the reminder 992 ≠ 0, we apply division lemma to 533 and 992, to get
992 = 533 x 1 + 459
Step 3: We consider the new divisor 533 and the new remainder 459, and apply the division lemma to get
533 = 459 x 1 + 74
We consider the new divisor 459 and the new remainder 74,and apply the division lemma to get
459 = 74 x 6 + 15
We consider the new divisor 74 and the new remainder 15,and apply the division lemma to get
74 = 15 x 4 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 992 and 4501 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(74,15) = HCF(459,74) = HCF(533,459) = HCF(992,533) = HCF(4501,992) .
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Frequently Asked Questions on HCF of 992, 4501 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 992, 4501?
Answer: HCF of 992, 4501 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 4501 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 4501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.