Highest Common Factor of 8751, 3075 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 8751, 3075 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8751, 3075 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 8751, 3075 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 8751, 3075 is 3.
HCF(8751, 3075) = 3
HCF of 8751, 3075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8751, 3075 is 3.
Highest Common Factor of 8751,3075 is 3
Step 1: Since 8751 > 3075, we apply the division lemma to 8751 and 3075, to get
8751 = 3075 x 2 + 2601
Step 2: Since the reminder 3075 ≠ 0, we apply division lemma to 2601 and 3075, to get
3075 = 2601 x 1 + 474
Step 3: We consider the new divisor 2601 and the new remainder 474, and apply the division lemma to get
2601 = 474 x 5 + 231
We consider the new divisor 474 and the new remainder 231,and apply the division lemma to get
474 = 231 x 2 + 12
We consider the new divisor 231 and the new remainder 12,and apply the division lemma to get
231 = 12 x 19 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8751 and 3075 is 3
Notice that 3 = HCF(12,3) = HCF(231,12) = HCF(474,231) = HCF(2601,474) = HCF(3075,2601) = HCF(8751,3075) .
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Frequently Asked Questions on HCF of 8751, 3075 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 8751, 3075?
Answer: HCF of 8751, 3075 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8751, 3075 using Euclid's Algorithm?
Answer: For arbitrary numbers 8751, 3075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.