Highest Common Factor of 541, 421, 921 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 541, 421, 921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 541, 421, 921 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 541, 421, 921 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 541, 421, 921 is 1.
HCF(541, 421, 921) = 1
HCF of 541, 421, 921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 541, 421, 921 is 1.
Highest Common Factor of 541,421,921 is 1
Step 1: Since 541 > 421, we apply the division lemma to 541 and 421, to get
541 = 421 x 1 + 120
Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 120 and 421, to get
421 = 120 x 3 + 61
Step 3: We consider the new divisor 120 and the new remainder 61, and apply the division lemma to get
120 = 61 x 1 + 59
We consider the new divisor 61 and the new remainder 59,and apply the division lemma to get
61 = 59 x 1 + 2
We consider the new divisor 59 and the new remainder 2,and apply the division lemma to get
59 = 2 x 29 + 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 541 and 421 is 1
Notice that 1 = HCF(2,1) = HCF(59,2) = HCF(61,59) = HCF(120,61) = HCF(421,120) = HCF(541,421) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 921 > 1, we apply the division lemma to 921 and 1, to get
921 = 1 x 921 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 921 is 1
Notice that 1 = HCF(921,1) .
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Frequently Asked Questions on HCF of 541, 421, 921 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 541, 421, 921?
Answer: HCF of 541, 421, 921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 541, 421, 921 using Euclid's Algorithm?
Answer: For arbitrary numbers 541, 421, 921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.