Highest Common Factor of 351, 810, 125 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 351, 810, 125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 810, 125 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 351, 810, 125 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 351, 810, 125 is 1.
HCF(351, 810, 125) = 1
HCF of 351, 810, 125 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 351, 810, 125 is 1.
Highest Common Factor of 351,810,125 is 1
Step 1: Since 810 > 351, we apply the division lemma to 810 and 351, to get
810 = 351 x 2 + 108
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 108 and 351, to get
351 = 108 x 3 + 27
Step 3: We consider the new divisor 108 and the new remainder 27, and apply the division lemma to get
108 = 27 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 351 and 810 is 27
Notice that 27 = HCF(108,27) = HCF(351,108) = HCF(810,351) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 125 > 27, we apply the division lemma to 125 and 27, to get
125 = 27 x 4 + 17
Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 17 and 27, to get
27 = 17 x 1 + 10
Step 3: We consider the new divisor 17 and the new remainder 10, and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 27 and 125 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(27,17) = HCF(125,27) .
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Frequently Asked Questions on HCF of 351, 810, 125 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 351, 810, 125?
Answer: HCF of 351, 810, 125 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 810, 125 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 810, 125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.