Highest Common Factor of 9051, 6219 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 9051, 6219 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9051, 6219 is 3 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 9051, 6219 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 9051, 6219 is 3.
HCF(9051, 6219) = 3
HCF of 9051, 6219 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9051, 6219 is 3.
Highest Common Factor of 9051,6219 is 3
Step 1: Since 9051 > 6219, we apply the division lemma to 9051 and 6219, to get
9051 = 6219 x 1 + 2832
Step 2: Since the reminder 6219 ≠ 0, we apply division lemma to 2832 and 6219, to get
6219 = 2832 x 2 + 555
Step 3: We consider the new divisor 2832 and the new remainder 555, and apply the division lemma to get
2832 = 555 x 5 + 57
We consider the new divisor 555 and the new remainder 57,and apply the division lemma to get
555 = 57 x 9 + 42
We consider the new divisor 57 and the new remainder 42,and apply the division lemma to get
57 = 42 x 1 + 15
We consider the new divisor 42 and the new remainder 15,and apply the division lemma to get
42 = 15 x 2 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9051 and 6219 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(42,15) = HCF(57,42) = HCF(555,57) = HCF(2832,555) = HCF(6219,2832) = HCF(9051,6219) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9051, 6219 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 9051, 6219?
Answer: HCF of 9051, 6219 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9051, 6219 using Euclid's Algorithm?
Answer: For arbitrary numbers 9051, 6219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
