Highest Common Factor of 4992, 8484 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 4992, 8484 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 4992, 8484 is 12 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 4992, 8484 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 4992, 8484 is 12.
HCF(4992, 8484) = 12
HCF of 4992, 8484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4992, 8484 is 12.
Highest Common Factor of 4992,8484 is 12
Step 1: Since 8484 > 4992, we apply the division lemma to 8484 and 4992, to get
8484 = 4992 x 1 + 3492
Step 2: Since the reminder 4992 ≠ 0, we apply division lemma to 3492 and 4992, to get
4992 = 3492 x 1 + 1500
Step 3: We consider the new divisor 3492 and the new remainder 1500, and apply the division lemma to get
3492 = 1500 x 2 + 492
We consider the new divisor 1500 and the new remainder 492,and apply the division lemma to get
1500 = 492 x 3 + 24
We consider the new divisor 492 and the new remainder 24,and apply the division lemma to get
492 = 24 x 20 + 12
We consider the new divisor 24 and the new remainder 12,and apply the division lemma to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 4992 and 8484 is 12
Notice that 12 = HCF(24,12) = HCF(492,24) = HCF(1500,492) = HCF(3492,1500) = HCF(4992,3492) = HCF(8484,4992) .
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Frequently Asked Questions on HCF of 4992, 8484 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 4992, 8484?
Answer: HCF of 4992, 8484 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4992, 8484 using Euclid's Algorithm?
Answer: For arbitrary numbers 4992, 8484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.