Highest Common Factor of 9984, 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 9984, 1332 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 9984, 1332 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 9984, 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 9984, 1332 is 12.
HCF(9984, 1332) = 12
HCF of 9984, 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 9984, 1332 is 12.
Highest Common Factor of 9984,1332 is 12
Step 1: Since 9984 > 1332, we apply the division lemma to 9984 and 1332, to get
9984 = 1332 x 7 + 660
Step 2: Since the reminder 1332 ≠ 0, we apply division lemma to 660 and 1332, to get
1332 = 660 x 2 + 12
Step 3: We consider the new divisor 660 and the new remainder 12, and apply the division lemma to get
660 = 12 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 9984 and 1332 is 12
Notice that 12 = HCF(660,12) = HCF(1332,660) = HCF(9984,1332) .
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Frequently Asked Questions on HCF of 9984, 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 9984, 1332?
Answer: HCF of 9984, 1332 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9984, 1332 using Euclid's Algorithm?
Answer: For arbitrary numbers 9984, 1332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
