Highest Common Factor of 873, 720, 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 873, 720, 50 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 873, 720, 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 873, 720, 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 873, 720, 50 is 1.
HCF(873, 720, 50) = 1
HCF of 873, 720, 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 873, 720, 50 is 1.
Highest Common Factor of 873,720,50 is 1
Step 1: Since 873 > 720, we apply the division lemma to 873 and 720, to get
873 = 720 x 1 + 153
Step 2: Since the reminder 720 ≠ 0, we apply division lemma to 153 and 720, to get
720 = 153 x 4 + 108
Step 3: We consider the new divisor 153 and the new remainder 108, and apply the division lemma to get
153 = 108 x 1 + 45
We consider the new divisor 108 and the new remainder 45,and apply the division lemma to get
108 = 45 x 2 + 18
We consider the new divisor 45 and the new remainder 18,and apply the division lemma to get
45 = 18 x 2 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 873 and 720 is 9
Notice that 9 = HCF(18,9) = HCF(45,18) = HCF(108,45) = HCF(153,108) = HCF(720,153) = HCF(873,720) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50 > 9, we apply the division lemma to 50 and 9, to get
50 = 9 x 5 + 5
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get
9 = 5 x 1 + 4
Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 50 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(50,9) .
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Frequently Asked Questions on HCF of 873, 720, 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 873, 720, 50?
Answer: HCF of 873, 720, 50 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 873, 720, 50 using Euclid's Algorithm?
Answer: For arbitrary numbers 873, 720, 50 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.