Highest Common Factor of 6780, 9531 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 6780, 9531 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6780, 9531 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 6780, 9531 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 6780, 9531 is 3.
HCF(6780, 9531) = 3
HCF of 6780, 9531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6780, 9531 is 3.
Highest Common Factor of 6780,9531 is 3
Step 1: Since 9531 > 6780, we apply the division lemma to 9531 and 6780, to get
9531 = 6780 x 1 + 2751
Step 2: Since the reminder 6780 ≠ 0, we apply division lemma to 2751 and 6780, to get
6780 = 2751 x 2 + 1278
Step 3: We consider the new divisor 2751 and the new remainder 1278, and apply the division lemma to get
2751 = 1278 x 2 + 195
We consider the new divisor 1278 and the new remainder 195,and apply the division lemma to get
1278 = 195 x 6 + 108
We consider the new divisor 195 and the new remainder 108,and apply the division lemma to get
195 = 108 x 1 + 87
We consider the new divisor 108 and the new remainder 87,and apply the division lemma to get
108 = 87 x 1 + 21
We consider the new divisor 87 and the new remainder 21,and apply the division lemma to get
87 = 21 x 4 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6780 and 9531 is 3
Notice that 3 = HCF(21,3) = HCF(87,21) = HCF(108,87) = HCF(195,108) = HCF(1278,195) = HCF(2751,1278) = HCF(6780,2751) = HCF(9531,6780) .
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Frequently Asked Questions on HCF of 6780, 9531 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 6780, 9531?
Answer: HCF of 6780, 9531 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6780, 9531 using Euclid's Algorithm?
Answer: For arbitrary numbers 6780, 9531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.