Highest Common Factor of 920, 1523 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 920, 1523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 920, 1523 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 920, 1523 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 920, 1523 is 1.
HCF(920, 1523) = 1
HCF of 920, 1523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 920, 1523 is 1.
Highest Common Factor of 920,1523 is 1
Step 1: Since 1523 > 920, we apply the division lemma to 1523 and 920, to get
1523 = 920 x 1 + 603
Step 2: Since the reminder 920 ≠ 0, we apply division lemma to 603 and 920, to get
920 = 603 x 1 + 317
Step 3: We consider the new divisor 603 and the new remainder 317, and apply the division lemma to get
603 = 317 x 1 + 286
We consider the new divisor 317 and the new remainder 286,and apply the division lemma to get
317 = 286 x 1 + 31
We consider the new divisor 286 and the new remainder 31,and apply the division lemma to get
286 = 31 x 9 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 920 and 1523 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(286,31) = HCF(317,286) = HCF(603,317) = HCF(920,603) = HCF(1523,920) .
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Frequently Asked Questions on HCF of 920, 1523 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 920, 1523?
Answer: HCF of 920, 1523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 920, 1523 using Euclid's Algorithm?
Answer: For arbitrary numbers 920, 1523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.