Highest Common Factor of 5872, 1232 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 5872, 1232 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 5872, 1232 is 16 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 5872, 1232 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 5872, 1232 is 16.
HCF(5872, 1232) = 16
HCF of 5872, 1232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5872, 1232 is 16.
Highest Common Factor of 5872,1232 is 16
Step 1: Since 5872 > 1232, we apply the division lemma to 5872 and 1232, to get
5872 = 1232 x 4 + 944
Step 2: Since the reminder 1232 ≠ 0, we apply division lemma to 944 and 1232, to get
1232 = 944 x 1 + 288
Step 3: We consider the new divisor 944 and the new remainder 288, and apply the division lemma to get
944 = 288 x 3 + 80
We consider the new divisor 288 and the new remainder 80,and apply the division lemma to get
288 = 80 x 3 + 48
We consider the new divisor 80 and the new remainder 48,and apply the division lemma to get
80 = 48 x 1 + 32
We consider the new divisor 48 and the new remainder 32,and apply the division lemma to get
48 = 32 x 1 + 16
We consider the new divisor 32 and the new remainder 16,and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 5872 and 1232 is 16
Notice that 16 = HCF(32,16) = HCF(48,32) = HCF(80,48) = HCF(288,80) = HCF(944,288) = HCF(1232,944) = HCF(5872,1232) .
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Frequently Asked Questions on HCF of 5872, 1232 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 5872, 1232?
Answer: HCF of 5872, 1232 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5872, 1232 using Euclid's Algorithm?
Answer: For arbitrary numbers 5872, 1232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.