Highest Common Factor of 1244, 8032 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 1244, 8032 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1244, 8032 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 1244, 8032 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 1244, 8032 is 4.
HCF(1244, 8032) = 4
HCF of 1244, 8032 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1244, 8032 is 4.
Highest Common Factor of 1244,8032 is 4
Step 1: Since 8032 > 1244, we apply the division lemma to 8032 and 1244, to get
8032 = 1244 x 6 + 568
Step 2: Since the reminder 1244 ≠ 0, we apply division lemma to 568 and 1244, to get
1244 = 568 x 2 + 108
Step 3: We consider the new divisor 568 and the new remainder 108, and apply the division lemma to get
568 = 108 x 5 + 28
We consider the new divisor 108 and the new remainder 28,and apply the division lemma to get
108 = 28 x 3 + 24
We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get
28 = 24 x 1 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1244 and 8032 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(108,28) = HCF(568,108) = HCF(1244,568) = HCF(8032,1244) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1244, 8032 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 1244, 8032?
Answer: HCF of 1244, 8032 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1244, 8032 using Euclid's Algorithm?
Answer: For arbitrary numbers 1244, 8032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.