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 8232, 4392 i.e. 24 the largest integer that leaves a remainder zero for all numbers.
HCF of 8232, 4392 is 24 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 8232, 4392 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 8232, 4392 is 24.
HCF(8232, 4392) = 24
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8232, 4392 is 24.
Step 1: Since 8232 > 4392, we apply the division lemma to 8232 and 4392, to get
8232 = 4392 x 1 + 3840
Step 2: Since the reminder 4392 ≠ 0, we apply division lemma to 3840 and 4392, to get
4392 = 3840 x 1 + 552
Step 3: We consider the new divisor 3840 and the new remainder 552, and apply the division lemma to get
3840 = 552 x 6 + 528
We consider the new divisor 552 and the new remainder 528,and apply the division lemma to get
552 = 528 x 1 + 24
We consider the new divisor 528 and the new remainder 24,and apply the division lemma to get
528 = 24 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 8232 and 4392 is 24
Notice that 24 = HCF(528,24) = HCF(552,528) = HCF(3840,552) = HCF(4392,3840) = HCF(8232,4392) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8232, 4392?
Answer: HCF of 8232, 4392 is 24 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8232, 4392 using Euclid's Algorithm?
Answer: For arbitrary numbers 8232, 4392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.