Highest Common Factor of 1285, 9172 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 1285, 9172 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1285, 9172 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 1285, 9172 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 1285, 9172 is 1.
HCF(1285, 9172) = 1
HCF of 1285, 9172 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1285, 9172 is 1.
Highest Common Factor of 1285,9172 is 1
Step 1: Since 9172 > 1285, we apply the division lemma to 9172 and 1285, to get
9172 = 1285 x 7 + 177
Step 2: Since the reminder 1285 ≠ 0, we apply division lemma to 177 and 1285, to get
1285 = 177 x 7 + 46
Step 3: We consider the new divisor 177 and the new remainder 46, and apply the division lemma to get
177 = 46 x 3 + 39
We consider the new divisor 46 and the new remainder 39,and apply the division lemma to get
46 = 39 x 1 + 7
We consider the new divisor 39 and the new remainder 7,and apply the division lemma to get
39 = 7 x 5 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 1285 and 9172 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(39,7) = HCF(46,39) = HCF(177,46) = HCF(1285,177) = HCF(9172,1285) .
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Frequently Asked Questions on HCF of 1285, 9172 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 1285, 9172?
Answer: HCF of 1285, 9172 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1285, 9172 using Euclid's Algorithm?
Answer: For arbitrary numbers 1285, 9172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.