Highest Common Factor of 332, 416, 612 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 332, 416, 612 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 332, 416, 612 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 332, 416, 612 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 332, 416, 612 is 4.
HCF(332, 416, 612) = 4
HCF of 332, 416, 612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 332, 416, 612 is 4.
Highest Common Factor of 332,416,612 is 4
Step 1: Since 416 > 332, we apply the division lemma to 416 and 332, to get
416 = 332 x 1 + 84
Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 84 and 332, to get
332 = 84 x 3 + 80
Step 3: We consider the new divisor 84 and the new remainder 80, and apply the division lemma to get
84 = 80 x 1 + 4
We consider the new divisor 80 and the new remainder 4, and apply the division lemma to get
80 = 4 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 332 and 416 is 4
Notice that 4 = HCF(80,4) = HCF(84,80) = HCF(332,84) = HCF(416,332) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 612 > 4, we apply the division lemma to 612 and 4, to get
612 = 4 x 153 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 612 is 4
Notice that 4 = HCF(612,4) .
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Frequently Asked Questions on HCF of 332, 416, 612 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 332, 416, 612?
Answer: HCF of 332, 416, 612 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 332, 416, 612 using Euclid's Algorithm?
Answer: For arbitrary numbers 332, 416, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.