Highest Common Factor of 869, 57190 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 869, 57190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 869, 57190 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 869, 57190 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 869, 57190 is 1.
HCF(869, 57190) = 1
HCF of 869, 57190 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 869, 57190 is 1.
Highest Common Factor of 869,57190 is 1
Step 1: Since 57190 > 869, we apply the division lemma to 57190 and 869, to get
57190 = 869 x 65 + 705
Step 2: Since the reminder 869 ≠ 0, we apply division lemma to 705 and 869, to get
869 = 705 x 1 + 164
Step 3: We consider the new divisor 705 and the new remainder 164, and apply the division lemma to get
705 = 164 x 4 + 49
We consider the new divisor 164 and the new remainder 49,and apply the division lemma to get
164 = 49 x 3 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 57190 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(164,49) = HCF(705,164) = HCF(869,705) = HCF(57190,869) .
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Frequently Asked Questions on HCF of 869, 57190 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 869, 57190?
Answer: HCF of 869, 57190 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 869, 57190 using Euclid's Algorithm?
Answer: For arbitrary numbers 869, 57190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.