Highest Common Factor of 531, 48597 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 531, 48597 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 48597 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 531, 48597 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 531, 48597 is 3.
HCF(531, 48597) = 3
HCF of 531, 48597 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 48597 is 3.
Highest Common Factor of 531,48597 is 3
Step 1: Since 48597 > 531, we apply the division lemma to 48597 and 531, to get
48597 = 531 x 91 + 276
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 276 and 531, to get
531 = 276 x 1 + 255
Step 3: We consider the new divisor 276 and the new remainder 255, and apply the division lemma to get
276 = 255 x 1 + 21
We consider the new divisor 255 and the new remainder 21,and apply the division lemma to get
255 = 21 x 12 + 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 531 and 48597 is 3
Notice that 3 = HCF(21,3) = HCF(255,21) = HCF(276,255) = HCF(531,276) = HCF(48597,531) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 531, 48597 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 531, 48597?
Answer: HCF of 531, 48597 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 48597 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 48597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.