Highest Common Factor of 8175, 5614 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 8175, 5614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8175, 5614 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 8175, 5614 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 8175, 5614 is 1.
HCF(8175, 5614) = 1
HCF of 8175, 5614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8175, 5614 is 1.
Highest Common Factor of 8175,5614 is 1
Step 1: Since 8175 > 5614, we apply the division lemma to 8175 and 5614, to get
8175 = 5614 x 1 + 2561
Step 2: Since the reminder 5614 ≠ 0, we apply division lemma to 2561 and 5614, to get
5614 = 2561 x 2 + 492
Step 3: We consider the new divisor 2561 and the new remainder 492, and apply the division lemma to get
2561 = 492 x 5 + 101
We consider the new divisor 492 and the new remainder 101,and apply the division lemma to get
492 = 101 x 4 + 88
We consider the new divisor 101 and the new remainder 88,and apply the division lemma to get
101 = 88 x 1 + 13
We consider the new divisor 88 and the new remainder 13,and apply the division lemma to get
88 = 13 x 6 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8175 and 5614 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(88,13) = HCF(101,88) = HCF(492,101) = HCF(2561,492) = HCF(5614,2561) = HCF(8175,5614) .
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Frequently Asked Questions on HCF of 8175, 5614 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 8175, 5614?
Answer: HCF of 8175, 5614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8175, 5614 using Euclid's Algorithm?
Answer: For arbitrary numbers 8175, 5614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.