Highest Common Factor of 527, 1864, 5523 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, 1864, 5523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 1864, 5523 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, 1864, 5523 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, 1864, 5523 is 1.
HCF(527, 1864, 5523) = 1
HCF of 527, 1864, 5523 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, 1864, 5523 is 1.
Highest Common Factor of 527,1864,5523 is 1
Step 1: Since 1864 > 527, we apply the division lemma to 1864 and 527, to get
1864 = 527 x 3 + 283
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 283 and 527, to get
527 = 283 x 1 + 244
Step 3: We consider the new divisor 283 and the new remainder 244, and apply the division lemma to get
283 = 244 x 1 + 39
We consider the new divisor 244 and the new remainder 39,and apply the division lemma to get
244 = 39 x 6 + 10
We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get
39 = 10 x 3 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 527 and 1864 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(244,39) = HCF(283,244) = HCF(527,283) = HCF(1864,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5523 > 1, we apply the division lemma to 5523 and 1, to get
5523 = 1 x 5523 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5523 is 1
Notice that 1 = HCF(5523,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 527, 1864, 5523 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, 1864, 5523?
Answer: HCF of 527, 1864, 5523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 1864, 5523 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 1864, 5523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.