Highest Common Factor of 9759, 5727 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 9759, 5727 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9759, 5727 is 3 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 9759, 5727 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 9759, 5727 is 3.
HCF(9759, 5727) = 3
HCF of 9759, 5727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9759, 5727 is 3.
Highest Common Factor of 9759,5727 is 3
Step 1: Since 9759 > 5727, we apply the division lemma to 9759 and 5727, to get
9759 = 5727 x 1 + 4032
Step 2: Since the reminder 5727 ≠ 0, we apply division lemma to 4032 and 5727, to get
5727 = 4032 x 1 + 1695
Step 3: We consider the new divisor 4032 and the new remainder 1695, and apply the division lemma to get
4032 = 1695 x 2 + 642
We consider the new divisor 1695 and the new remainder 642,and apply the division lemma to get
1695 = 642 x 2 + 411
We consider the new divisor 642 and the new remainder 411,and apply the division lemma to get
642 = 411 x 1 + 231
We consider the new divisor 411 and the new remainder 231,and apply the division lemma to get
411 = 231 x 1 + 180
We consider the new divisor 231 and the new remainder 180,and apply the division lemma to get
231 = 180 x 1 + 51
We consider the new divisor 180 and the new remainder 51,and apply the division lemma to get
180 = 51 x 3 + 27
We consider the new divisor 51 and the new remainder 27,and apply the division lemma to get
51 = 27 x 1 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9759 and 5727 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(51,27) = HCF(180,51) = HCF(231,180) = HCF(411,231) = HCF(642,411) = HCF(1695,642) = HCF(4032,1695) = HCF(5727,4032) = HCF(9759,5727) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9759, 5727 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 9759, 5727?
Answer: HCF of 9759, 5727 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9759, 5727 using Euclid's Algorithm?
Answer: For arbitrary numbers 9759, 5727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.