Highest Common Factor of 539, 970, 241 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 539, 970, 241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 970, 241 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 539, 970, 241 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 539, 970, 241 is 1.
HCF(539, 970, 241) = 1
HCF of 539, 970, 241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 539, 970, 241 is 1.
Highest Common Factor of 539,970,241 is 1
Step 1: Since 970 > 539, we apply the division lemma to 970 and 539, to get
970 = 539 x 1 + 431
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 431 and 539, to get
539 = 431 x 1 + 108
Step 3: We consider the new divisor 431 and the new remainder 108, and apply the division lemma to get
431 = 108 x 3 + 107
We consider the new divisor 108 and the new remainder 107,and apply the division lemma to get
108 = 107 x 1 + 1
We consider the new divisor 107 and the new remainder 1,and apply the division lemma to get
107 = 1 x 107 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 970 is 1
Notice that 1 = HCF(107,1) = HCF(108,107) = HCF(431,108) = HCF(539,431) = HCF(970,539) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 241 > 1, we apply the division lemma to 241 and 1, to get
241 = 1 x 241 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 241 is 1
Notice that 1 = HCF(241,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 539, 970, 241 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 539, 970, 241?
Answer: HCF of 539, 970, 241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 970, 241 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 970, 241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.