Highest Common Factor of 1424, 2469 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 1424, 2469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1424, 2469 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 1424, 2469 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 1424, 2469 is 1.
HCF(1424, 2469) = 1
HCF of 1424, 2469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1424, 2469 is 1.
Highest Common Factor of 1424,2469 is 1
Step 1: Since 2469 > 1424, we apply the division lemma to 2469 and 1424, to get
2469 = 1424 x 1 + 1045
Step 2: Since the reminder 1424 ≠ 0, we apply division lemma to 1045 and 1424, to get
1424 = 1045 x 1 + 379
Step 3: We consider the new divisor 1045 and the new remainder 379, and apply the division lemma to get
1045 = 379 x 2 + 287
We consider the new divisor 379 and the new remainder 287,and apply the division lemma to get
379 = 287 x 1 + 92
We consider the new divisor 287 and the new remainder 92,and apply the division lemma to get
287 = 92 x 3 + 11
We consider the new divisor 92 and the new remainder 11,and apply the division lemma to get
92 = 11 x 8 + 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 1424 and 2469 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(92,11) = HCF(287,92) = HCF(379,287) = HCF(1045,379) = HCF(1424,1045) = HCF(2469,1424) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1424, 2469 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 1424, 2469?
Answer: HCF of 1424, 2469 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1424, 2469 using Euclid's Algorithm?
Answer: For arbitrary numbers 1424, 2469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.