Highest Common Factor of 3249, 8800 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 3249, 8800 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3249, 8800 is 1 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 3249, 8800 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 3249, 8800 is 1.
HCF(3249, 8800) = 1
HCF of 3249, 8800 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3249, 8800 is 1.
Highest Common Factor of 3249,8800 is 1
Step 1: Since 8800 > 3249, we apply the division lemma to 8800 and 3249, to get
8800 = 3249 x 2 + 2302
Step 2: Since the reminder 3249 ≠ 0, we apply division lemma to 2302 and 3249, to get
3249 = 2302 x 1 + 947
Step 3: We consider the new divisor 2302 and the new remainder 947, and apply the division lemma to get
2302 = 947 x 2 + 408
We consider the new divisor 947 and the new remainder 408,and apply the division lemma to get
947 = 408 x 2 + 131
We consider the new divisor 408 and the new remainder 131,and apply the division lemma to get
408 = 131 x 3 + 15
We consider the new divisor 131 and the new remainder 15,and apply the division lemma to get
131 = 15 x 8 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3249 and 8800 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(131,15) = HCF(408,131) = HCF(947,408) = HCF(2302,947) = HCF(3249,2302) = HCF(8800,3249) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3249, 8800 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 3249, 8800?
Answer: HCF of 3249, 8800 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3249, 8800 using Euclid's Algorithm?
Answer: For arbitrary numbers 3249, 8800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.