Highest Common Factor of 541, 906, 146, 50 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, 906, 146, 50 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 541, 906, 146, 50 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, 906, 146, 50 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, 906, 146, 50 is 1.
HCF(541, 906, 146, 50) = 1
HCF of 541, 906, 146, 50 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, 906, 146, 50 is 1.
Highest Common Factor of 541,906,146,50 is 1
Step 1: Since 906 > 541, we apply the division lemma to 906 and 541, to get
906 = 541 x 1 + 365
Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 365 and 541, to get
541 = 365 x 1 + 176
Step 3: We consider the new divisor 365 and the new remainder 176, and apply the division lemma to get
365 = 176 x 2 + 13
We consider the new divisor 176 and the new remainder 13,and apply the division lemma to get
176 = 13 x 13 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 541 and 906 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(176,13) = HCF(365,176) = HCF(541,365) = HCF(906,541) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 146 > 1, we apply the division lemma to 146 and 1, to get
146 = 1 x 146 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 146 is 1
Notice that 1 = HCF(146,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50 > 1, we apply the division lemma to 50 and 1, to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50 is 1
Notice that 1 = HCF(50,1) .
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Frequently Asked Questions on HCF of 541, 906, 146, 50 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, 906, 146, 50?
Answer: HCF of 541, 906, 146, 50 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 541, 906, 146, 50 using Euclid's Algorithm?
Answer: For arbitrary numbers 541, 906, 146, 50 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.