Highest Common Factor of 4484, 1332 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 4484, 1332 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4484, 1332 is 4 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 4484, 1332 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 4484, 1332 is 4.
HCF(4484, 1332) = 4
HCF of 4484, 1332 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4484, 1332 is 4.
Highest Common Factor of 4484,1332 is 4
Step 1: Since 4484 > 1332, we apply the division lemma to 4484 and 1332, to get
4484 = 1332 x 3 + 488
Step 2: Since the reminder 1332 ≠ 0, we apply division lemma to 488 and 1332, to get
1332 = 488 x 2 + 356
Step 3: We consider the new divisor 488 and the new remainder 356, and apply the division lemma to get
488 = 356 x 1 + 132
We consider the new divisor 356 and the new remainder 132,and apply the division lemma to get
356 = 132 x 2 + 92
We consider the new divisor 132 and the new remainder 92,and apply the division lemma to get
132 = 92 x 1 + 40
We consider the new divisor 92 and the new remainder 40,and apply the division lemma to get
92 = 40 x 2 + 12
We consider the new divisor 40 and the new remainder 12,and apply the division lemma to get
40 = 12 x 3 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4484 and 1332 is 4
Notice that 4 = HCF(12,4) = HCF(40,12) = HCF(92,40) = HCF(132,92) = HCF(356,132) = HCF(488,356) = HCF(1332,488) = HCF(4484,1332) .
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Frequently Asked Questions on HCF of 4484, 1332 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 4484, 1332?
Answer: HCF of 4484, 1332 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4484, 1332 using Euclid's Algorithm?
Answer: For arbitrary numbers 4484, 1332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.