Highest Common Factor of 6771, 7532 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 6771, 7532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6771, 7532 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 6771, 7532 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 6771, 7532 is 1.
HCF(6771, 7532) = 1
HCF of 6771, 7532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6771, 7532 is 1.
Highest Common Factor of 6771,7532 is 1
Step 1: Since 7532 > 6771, we apply the division lemma to 7532 and 6771, to get
7532 = 6771 x 1 + 761
Step 2: Since the reminder 6771 ≠ 0, we apply division lemma to 761 and 6771, to get
6771 = 761 x 8 + 683
Step 3: We consider the new divisor 761 and the new remainder 683, and apply the division lemma to get
761 = 683 x 1 + 78
We consider the new divisor 683 and the new remainder 78,and apply the division lemma to get
683 = 78 x 8 + 59
We consider the new divisor 78 and the new remainder 59,and apply the division lemma to get
78 = 59 x 1 + 19
We consider the new divisor 59 and the new remainder 19,and apply the division lemma to get
59 = 19 x 3 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6771 and 7532 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(59,19) = HCF(78,59) = HCF(683,78) = HCF(761,683) = HCF(6771,761) = HCF(7532,6771) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6771, 7532 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 6771, 7532?
Answer: HCF of 6771, 7532 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6771, 7532 using Euclid's Algorithm?
Answer: For arbitrary numbers 6771, 7532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
