Highest Common Factor of 527, 7647 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, 7647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 7647 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, 7647 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, 7647 is 1.
HCF(527, 7647) = 1
HCF of 527, 7647 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, 7647 is 1.
Highest Common Factor of 527,7647 is 1
Step 1: Since 7647 > 527, we apply the division lemma to 7647 and 527, to get
7647 = 527 x 14 + 269
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 269 and 527, to get
527 = 269 x 1 + 258
Step 3: We consider the new divisor 269 and the new remainder 258, and apply the division lemma to get
269 = 258 x 1 + 11
We consider the new divisor 258 and the new remainder 11,and apply the division lemma to get
258 = 11 x 23 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 527 and 7647 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(258,11) = HCF(269,258) = HCF(527,269) = HCF(7647,527) .
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, 7647 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, 7647?
Answer: HCF of 527, 7647 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 7647 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 7647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.