Highest Common Factor of 541, 964 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, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 541, 964 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, 964 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, 964 is 1.
HCF(541, 964) = 1
HCF of 541, 964 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, 964 is 1.
Highest Common Factor of 541,964 is 1
Step 1: Since 964 > 541, we apply the division lemma to 964 and 541, to get
964 = 541 x 1 + 423
Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 423 and 541, to get
541 = 423 x 1 + 118
Step 3: We consider the new divisor 423 and the new remainder 118, and apply the division lemma to get
423 = 118 x 3 + 69
We consider the new divisor 118 and the new remainder 69,and apply the division lemma to get
118 = 69 x 1 + 49
We consider the new divisor 69 and the new remainder 49,and apply the division lemma to get
69 = 49 x 1 + 20
We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get
49 = 20 x 2 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 964 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(69,49) = HCF(118,69) = HCF(423,118) = HCF(541,423) = HCF(964,541) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 541, 964 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, 964?
Answer: HCF of 541, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 541, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 541, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.