Highest Common Factor of 516, 387, 176, 375 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 516, 387, 176, 375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 516, 387, 176, 375 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 516, 387, 176, 375 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 516, 387, 176, 375 is 1.
HCF(516, 387, 176, 375) = 1
HCF of 516, 387, 176, 375 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 516, 387, 176, 375 is 1.
Highest Common Factor of 516,387,176,375 is 1
Step 1: Since 516 > 387, we apply the division lemma to 516 and 387, to get
516 = 387 x 1 + 129
Step 2: Since the reminder 387 ≠ 0, we apply division lemma to 129 and 387, to get
387 = 129 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 129, the HCF of 516 and 387 is 129
Notice that 129 = HCF(387,129) = HCF(516,387) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 176 > 129, we apply the division lemma to 176 and 129, to get
176 = 129 x 1 + 47
Step 2: Since the reminder 129 ≠ 0, we apply division lemma to 47 and 129, to get
129 = 47 x 2 + 35
Step 3: We consider the new divisor 47 and the new remainder 35, and apply the division lemma to get
47 = 35 x 1 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 129 and 176 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(47,35) = HCF(129,47) = HCF(176,129) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 375 > 1, we apply the division lemma to 375 and 1, to get
375 = 1 x 375 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 375 is 1
Notice that 1 = HCF(375,1) .
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Frequently Asked Questions on HCF of 516, 387, 176, 375 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 516, 387, 176, 375?
Answer: HCF of 516, 387, 176, 375 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 516, 387, 176, 375 using Euclid's Algorithm?
Answer: For arbitrary numbers 516, 387, 176, 375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.