Highest Common Factor of 2752, 5312, 46432 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 2752, 5312, 46432 i.e. 32 the largest integer that leaves a remainder zero for all numbers.
HCF of 2752, 5312, 46432 is 32 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 2752, 5312, 46432 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 2752, 5312, 46432 is 32.
HCF(2752, 5312, 46432) = 32
HCF of 2752, 5312, 46432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2752, 5312, 46432 is 32.
Highest Common Factor of 2752,5312,46432 is 32
Step 1: Since 5312 > 2752, we apply the division lemma to 5312 and 2752, to get
5312 = 2752 x 1 + 2560
Step 2: Since the reminder 2752 ≠ 0, we apply division lemma to 2560 and 2752, to get
2752 = 2560 x 1 + 192
Step 3: We consider the new divisor 2560 and the new remainder 192, and apply the division lemma to get
2560 = 192 x 13 + 64
We consider the new divisor 192 and the new remainder 64, and apply the division lemma to get
192 = 64 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 64, the HCF of 2752 and 5312 is 64
Notice that 64 = HCF(192,64) = HCF(2560,192) = HCF(2752,2560) = HCF(5312,2752) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46432 > 64, we apply the division lemma to 46432 and 64, to get
46432 = 64 x 725 + 32
Step 2: Since the reminder 64 ≠ 0, we apply division lemma to 32 and 64, to get
64 = 32 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 64 and 46432 is 32
Notice that 32 = HCF(64,32) = HCF(46432,64) .
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Frequently Asked Questions on HCF of 2752, 5312, 46432 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 2752, 5312, 46432?
Answer: HCF of 2752, 5312, 46432 is 32 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2752, 5312, 46432 using Euclid's Algorithm?
Answer: For arbitrary numbers 2752, 5312, 46432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.