Highest Common Factor of 916, 47332 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 916, 47332 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 916, 47332 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 916, 47332 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 916, 47332 is 4.
HCF(916, 47332) = 4
HCF of 916, 47332 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 916, 47332 is 4.
Highest Common Factor of 916,47332 is 4
Step 1: Since 47332 > 916, we apply the division lemma to 47332 and 916, to get
47332 = 916 x 51 + 616
Step 2: Since the reminder 916 ≠ 0, we apply division lemma to 616 and 916, to get
916 = 616 x 1 + 300
Step 3: We consider the new divisor 616 and the new remainder 300, and apply the division lemma to get
616 = 300 x 2 + 16
We consider the new divisor 300 and the new remainder 16,and apply the division lemma to get
300 = 16 x 18 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 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 916 and 47332 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(300,16) = HCF(616,300) = HCF(916,616) = HCF(47332,916) .
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Frequently Asked Questions on HCF of 916, 47332 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 916, 47332?
Answer: HCF of 916, 47332 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 916, 47332 using Euclid's Algorithm?
Answer: For arbitrary numbers 916, 47332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.