Highest Common Factor of 1292, 6642, 85457 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 1292, 6642, 85457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1292, 6642, 85457 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 1292, 6642, 85457 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 1292, 6642, 85457 is 1.
HCF(1292, 6642, 85457) = 1
HCF of 1292, 6642, 85457 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1292, 6642, 85457 is 1.
Highest Common Factor of 1292,6642,85457 is 1
Step 1: Since 6642 > 1292, we apply the division lemma to 6642 and 1292, to get
6642 = 1292 x 5 + 182
Step 2: Since the reminder 1292 ≠ 0, we apply division lemma to 182 and 1292, to get
1292 = 182 x 7 + 18
Step 3: We consider the new divisor 182 and the new remainder 18, and apply the division lemma to get
182 = 18 x 10 + 2
We consider the new divisor 18 and the new remainder 2, and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1292 and 6642 is 2
Notice that 2 = HCF(18,2) = HCF(182,18) = HCF(1292,182) = HCF(6642,1292) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85457 > 2, we apply the division lemma to 85457 and 2, to get
85457 = 2 x 42728 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 85457 is 1
Notice that 1 = HCF(2,1) = HCF(85457,2) .
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Frequently Asked Questions on HCF of 1292, 6642, 85457 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 1292, 6642, 85457?
Answer: HCF of 1292, 6642, 85457 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1292, 6642, 85457 using Euclid's Algorithm?
Answer: For arbitrary numbers 1292, 6642, 85457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
