Highest Common Factor of 1875, 8217 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 1875, 8217 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1875, 8217 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 1875, 8217 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 1875, 8217 is 3.
HCF(1875, 8217) = 3
HCF of 1875, 8217 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1875, 8217 is 3.
Highest Common Factor of 1875,8217 is 3
Step 1: Since 8217 > 1875, we apply the division lemma to 8217 and 1875, to get
8217 = 1875 x 4 + 717
Step 2: Since the reminder 1875 ≠ 0, we apply division lemma to 717 and 1875, to get
1875 = 717 x 2 + 441
Step 3: We consider the new divisor 717 and the new remainder 441, and apply the division lemma to get
717 = 441 x 1 + 276
We consider the new divisor 441 and the new remainder 276,and apply the division lemma to get
441 = 276 x 1 + 165
We consider the new divisor 276 and the new remainder 165,and apply the division lemma to get
276 = 165 x 1 + 111
We consider the new divisor 165 and the new remainder 111,and apply the division lemma to get
165 = 111 x 1 + 54
We consider the new divisor 111 and the new remainder 54,and apply the division lemma to get
111 = 54 x 2 + 3
We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get
54 = 3 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1875 and 8217 is 3
Notice that 3 = HCF(54,3) = HCF(111,54) = HCF(165,111) = HCF(276,165) = HCF(441,276) = HCF(717,441) = HCF(1875,717) = HCF(8217,1875) .
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Frequently Asked Questions on HCF of 1875, 8217 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 1875, 8217?
Answer: HCF of 1875, 8217 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1875, 8217 using Euclid's Algorithm?
Answer: For arbitrary numbers 1875, 8217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.