Highest Common Factor of 50, 81, 173, 355 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 50, 81, 173, 355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 50, 81, 173, 355 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 50, 81, 173, 355 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 50, 81, 173, 355 is 1.
HCF(50, 81, 173, 355) = 1
HCF of 50, 81, 173, 355 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 50, 81, 173, 355 is 1.
Highest Common Factor of 50,81,173,355 is 1
Step 1: Since 81 > 50, we apply the division lemma to 81 and 50, to get
81 = 50 x 1 + 31
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 31 and 50, to get
50 = 31 x 1 + 19
Step 3: We consider the new divisor 31 and the new remainder 19, and apply the division lemma to get
31 = 19 x 1 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 50 and 81 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(31,19) = HCF(50,31) = HCF(81,50) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 173 > 1, we apply the division lemma to 173 and 1, to get
173 = 1 x 173 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 173 is 1
Notice that 1 = HCF(173,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 355 > 1, we apply the division lemma to 355 and 1, to get
355 = 1 x 355 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 355 is 1
Notice that 1 = HCF(355,1) .
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Frequently Asked Questions on HCF of 50, 81, 173, 355 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 50, 81, 173, 355?
Answer: HCF of 50, 81, 173, 355 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 50, 81, 173, 355 using Euclid's Algorithm?
Answer: For arbitrary numbers 50, 81, 173, 355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.