Highest Common Factor of 9992, 2523 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 9992, 2523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9992, 2523 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 9992, 2523 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 9992, 2523 is 1.
HCF(9992, 2523) = 1
HCF of 9992, 2523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9992, 2523 is 1.
Highest Common Factor of 9992,2523 is 1
Step 1: Since 9992 > 2523, we apply the division lemma to 9992 and 2523, to get
9992 = 2523 x 3 + 2423
Step 2: Since the reminder 2523 ≠ 0, we apply division lemma to 2423 and 2523, to get
2523 = 2423 x 1 + 100
Step 3: We consider the new divisor 2423 and the new remainder 100, and apply the division lemma to get
2423 = 100 x 24 + 23
We consider the new divisor 100 and the new remainder 23,and apply the division lemma to get
100 = 23 x 4 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9992 and 2523 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(100,23) = HCF(2423,100) = HCF(2523,2423) = HCF(9992,2523) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9992, 2523 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 9992, 2523?
Answer: HCF of 9992, 2523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9992, 2523 using Euclid's Algorithm?
Answer: For arbitrary numbers 9992, 2523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.