Highest Common Factor of 6453, 1121 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 6453, 1121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6453, 1121 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 6453, 1121 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 6453, 1121 is 1.
HCF(6453, 1121) = 1
HCF of 6453, 1121 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6453, 1121 is 1.
Highest Common Factor of 6453,1121 is 1
Step 1: Since 6453 > 1121, we apply the division lemma to 6453 and 1121, to get
6453 = 1121 x 5 + 848
Step 2: Since the reminder 1121 ≠ 0, we apply division lemma to 848 and 1121, to get
1121 = 848 x 1 + 273
Step 3: We consider the new divisor 848 and the new remainder 273, and apply the division lemma to get
848 = 273 x 3 + 29
We consider the new divisor 273 and the new remainder 29,and apply the division lemma to get
273 = 29 x 9 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6453 and 1121 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(273,29) = HCF(848,273) = HCF(1121,848) = HCF(6453,1121) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6453, 1121 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 6453, 1121?
Answer: HCF of 6453, 1121 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6453, 1121 using Euclid's Algorithm?
Answer: For arbitrary numbers 6453, 1121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.