Highest Common Factor of 1523, 2299 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 1523, 2299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1523, 2299 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 1523, 2299 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 1523, 2299 is 1.
HCF(1523, 2299) = 1
HCF of 1523, 2299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1523, 2299 is 1.
Highest Common Factor of 1523,2299 is 1
Step 1: Since 2299 > 1523, we apply the division lemma to 2299 and 1523, to get
2299 = 1523 x 1 + 776
Step 2: Since the reminder 1523 ≠ 0, we apply division lemma to 776 and 1523, to get
1523 = 776 x 1 + 747
Step 3: We consider the new divisor 776 and the new remainder 747, and apply the division lemma to get
776 = 747 x 1 + 29
We consider the new divisor 747 and the new remainder 29,and apply the division lemma to get
747 = 29 x 25 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 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 1523 and 2299 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(747,29) = HCF(776,747) = HCF(1523,776) = HCF(2299,1523) .
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Frequently Asked Questions on HCF of 1523, 2299 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 1523, 2299?
Answer: HCF of 1523, 2299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1523, 2299 using Euclid's Algorithm?
Answer: For arbitrary numbers 1523, 2299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
