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, 91040 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 541, 91040 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, 91040 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, 91040 is 1.
HCF(541, 91040) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 541, 91040 is 1.
Step 1: Since 91040 > 541, we apply the division lemma to 91040 and 541, to get
91040 = 541 x 168 + 152
Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 152 and 541, to get
541 = 152 x 3 + 85
Step 3: We consider the new divisor 152 and the new remainder 85, and apply the division lemma to get
152 = 85 x 1 + 67
We consider the new divisor 85 and the new remainder 67,and apply the division lemma to get
85 = 67 x 1 + 18
We consider the new divisor 67 and the new remainder 18,and apply the division lemma to get
67 = 18 x 3 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 91040 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(67,18) = HCF(85,67) = HCF(152,85) = HCF(541,152) = HCF(91040,541) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 91040?
Answer: HCF of 541, 91040 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 541, 91040 using Euclid's Algorithm?
Answer: For arbitrary numbers 541, 91040 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.