Highest Common Factor of 7758, 531 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 7758, 531 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 7758, 531 is 9 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 7758, 531 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 7758, 531 is 9.
HCF(7758, 531) = 9
HCF of 7758, 531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7758, 531 is 9.
Highest Common Factor of 7758,531 is 9
Step 1: Since 7758 > 531, we apply the division lemma to 7758 and 531, to get
7758 = 531 x 14 + 324
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 324 and 531, to get
531 = 324 x 1 + 207
Step 3: We consider the new divisor 324 and the new remainder 207, and apply the division lemma to get
324 = 207 x 1 + 117
We consider the new divisor 207 and the new remainder 117,and apply the division lemma to get
207 = 117 x 1 + 90
We consider the new divisor 117 and the new remainder 90,and apply the division lemma to get
117 = 90 x 1 + 27
We consider the new divisor 90 and the new remainder 27,and apply the division lemma to get
90 = 27 x 3 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 7758 and 531 is 9
Notice that 9 = HCF(27,9) = HCF(90,27) = HCF(117,90) = HCF(207,117) = HCF(324,207) = HCF(531,324) = HCF(7758,531) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7758, 531 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 7758, 531?
Answer: HCF of 7758, 531 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7758, 531 using Euclid's Algorithm?
Answer: For arbitrary numbers 7758, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.