Highest Common Factor of 375, 6327, 2712 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 375, 6327, 2712 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 375, 6327, 2712 is 3 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 375, 6327, 2712 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 375, 6327, 2712 is 3.
HCF(375, 6327, 2712) = 3
HCF of 375, 6327, 2712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 375, 6327, 2712 is 3.
Highest Common Factor of 375,6327,2712 is 3
Step 1: Since 6327 > 375, we apply the division lemma to 6327 and 375, to get
6327 = 375 x 16 + 327
Step 2: Since the reminder 375 ≠ 0, we apply division lemma to 327 and 375, to get
375 = 327 x 1 + 48
Step 3: We consider the new divisor 327 and the new remainder 48, and apply the division lemma to get
327 = 48 x 6 + 39
We consider the new divisor 48 and the new remainder 39,and apply the division lemma to get
48 = 39 x 1 + 9
We consider the new divisor 39 and the new remainder 9,and apply the division lemma to get
39 = 9 x 4 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 375 and 6327 is 3
Notice that 3 = HCF(9,3) = HCF(39,9) = HCF(48,39) = HCF(327,48) = HCF(375,327) = HCF(6327,375) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2712 > 3, we apply the division lemma to 2712 and 3, to get
2712 = 3 x 904 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 2712 is 3
Notice that 3 = HCF(2712,3) .
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Frequently Asked Questions on HCF of 375, 6327, 2712 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 375, 6327, 2712?
Answer: HCF of 375, 6327, 2712 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 375, 6327, 2712 using Euclid's Algorithm?
Answer: For arbitrary numbers 375, 6327, 2712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.