Highest Common Factor of 351, 824, 122, 872 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, 824, 122, 872 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 824, 122, 872 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, 824, 122, 872 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, 824, 122, 872 is 1.
HCF(351, 824, 122, 872) = 1
HCF of 351, 824, 122, 872 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, 824, 122, 872 is 1.
Highest Common Factor of 351,824,122,872 is 1
Step 1: Since 824 > 351, we apply the division lemma to 824 and 351, to get
824 = 351 x 2 + 122
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 122 and 351, to get
351 = 122 x 2 + 107
Step 3: We consider the new divisor 122 and the new remainder 107, and apply the division lemma to get
122 = 107 x 1 + 15
We consider the new divisor 107 and the new remainder 15,and apply the division lemma to get
107 = 15 x 7 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 351 and 824 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(107,15) = HCF(122,107) = HCF(351,122) = HCF(824,351) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 122 > 1, we apply the division lemma to 122 and 1, to get
122 = 1 x 122 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 122 is 1
Notice that 1 = HCF(122,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 872 > 1, we apply the division lemma to 872 and 1, to get
872 = 1 x 872 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 872 is 1
Notice that 1 = HCF(872,1) .
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Frequently Asked Questions on HCF of 351, 824, 122, 872 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, 824, 122, 872?
Answer: HCF of 351, 824, 122, 872 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 824, 122, 872 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 824, 122, 872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.