Highest Common Factor of 272, 3748, 3232 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 272, 3748, 3232 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 272, 3748, 3232 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 272, 3748, 3232 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 272, 3748, 3232 is 4.
HCF(272, 3748, 3232) = 4
HCF of 272, 3748, 3232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 272, 3748, 3232 is 4.
Highest Common Factor of 272,3748,3232 is 4
Step 1: Since 3748 > 272, we apply the division lemma to 3748 and 272, to get
3748 = 272 x 13 + 212
Step 2: Since the reminder 272 ≠ 0, we apply division lemma to 212 and 272, to get
272 = 212 x 1 + 60
Step 3: We consider the new divisor 212 and the new remainder 60, and apply the division lemma to get
212 = 60 x 3 + 32
We consider the new divisor 60 and the new remainder 32,and apply the division lemma to get
60 = 32 x 1 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 272 and 3748 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(60,32) = HCF(212,60) = HCF(272,212) = HCF(3748,272) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3232 > 4, we apply the division lemma to 3232 and 4, to get
3232 = 4 x 808 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 3232 is 4
Notice that 4 = HCF(3232,4) .
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Frequently Asked Questions on HCF of 272, 3748, 3232 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 272, 3748, 3232?
Answer: HCF of 272, 3748, 3232 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 272, 3748, 3232 using Euclid's Algorithm?
Answer: For arbitrary numbers 272, 3748, 3232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.