Highest Common Factor of 4232, 1528 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 4232, 1528 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4232, 1528 is 8 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 4232, 1528 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 4232, 1528 is 8.
HCF(4232, 1528) = 8
HCF of 4232, 1528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4232, 1528 is 8.
Highest Common Factor of 4232,1528 is 8
Step 1: Since 4232 > 1528, we apply the division lemma to 4232 and 1528, to get
4232 = 1528 x 2 + 1176
Step 2: Since the reminder 1528 ≠ 0, we apply division lemma to 1176 and 1528, to get
1528 = 1176 x 1 + 352
Step 3: We consider the new divisor 1176 and the new remainder 352, and apply the division lemma to get
1176 = 352 x 3 + 120
We consider the new divisor 352 and the new remainder 120,and apply the division lemma to get
352 = 120 x 2 + 112
We consider the new divisor 120 and the new remainder 112,and apply the division lemma to get
120 = 112 x 1 + 8
We consider the new divisor 112 and the new remainder 8,and apply the division lemma to get
112 = 8 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4232 and 1528 is 8
Notice that 8 = HCF(112,8) = HCF(120,112) = HCF(352,120) = HCF(1176,352) = HCF(1528,1176) = HCF(4232,1528) .
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Frequently Asked Questions on HCF of 4232, 1528 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 4232, 1528?
Answer: HCF of 4232, 1528 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4232, 1528 using Euclid's Algorithm?
Answer: For arbitrary numbers 4232, 1528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.