Highest Common Factor of 1235, 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 1235, 2523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1235, 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 1235, 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 1235, 2523 is 1.
HCF(1235, 2523) = 1
HCF of 1235, 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 1235, 2523 is 1.
Highest Common Factor of 1235,2523 is 1
Step 1: Since 2523 > 1235, we apply the division lemma to 2523 and 1235, to get
2523 = 1235 x 2 + 53
Step 2: Since the reminder 1235 ≠ 0, we apply division lemma to 53 and 1235, to get
1235 = 53 x 23 + 16
Step 3: We consider the new divisor 53 and the new remainder 16, and apply the division lemma to get
53 = 16 x 3 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1235 and 2523 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(53,16) = HCF(1235,53) = HCF(2523,1235) .
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Frequently Asked Questions on HCF of 1235, 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 1235, 2523?
Answer: HCF of 1235, 2523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1235, 2523 using Euclid's Algorithm?
Answer: For arbitrary numbers 1235, 2523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.