Highest Common Factor of 527, 2044 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 527, 2044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 2044 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 527, 2044 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 527, 2044 is 1.
HCF(527, 2044) = 1
HCF of 527, 2044 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 2044 is 1.
Highest Common Factor of 527,2044 is 1
Step 1: Since 2044 > 527, we apply the division lemma to 2044 and 527, to get
2044 = 527 x 3 + 463
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 463 and 527, to get
527 = 463 x 1 + 64
Step 3: We consider the new divisor 463 and the new remainder 64, and apply the division lemma to get
463 = 64 x 7 + 15
We consider the new divisor 64 and the new remainder 15,and apply the division lemma to get
64 = 15 x 4 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 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 527 and 2044 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(64,15) = HCF(463,64) = HCF(527,463) = HCF(2044,527) .
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Frequently Asked Questions on HCF of 527, 2044 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 527, 2044?
Answer: HCF of 527, 2044 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 2044 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 2044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.