Highest Common Factor of 1442, 1276, 96415 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 1442, 1276, 96415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1442, 1276, 96415 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 1442, 1276, 96415 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 1442, 1276, 96415 is 1.
HCF(1442, 1276, 96415) = 1
HCF of 1442, 1276, 96415 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1442, 1276, 96415 is 1.
Highest Common Factor of 1442,1276,96415 is 1
Step 1: Since 1442 > 1276, we apply the division lemma to 1442 and 1276, to get
1442 = 1276 x 1 + 166
Step 2: Since the reminder 1276 ≠ 0, we apply division lemma to 166 and 1276, to get
1276 = 166 x 7 + 114
Step 3: We consider the new divisor 166 and the new remainder 114, and apply the division lemma to get
166 = 114 x 1 + 52
We consider the new divisor 114 and the new remainder 52,and apply the division lemma to get
114 = 52 x 2 + 10
We consider the new divisor 52 and the new remainder 10,and apply the division lemma to get
52 = 10 x 5 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1442 and 1276 is 2
Notice that 2 = HCF(10,2) = HCF(52,10) = HCF(114,52) = HCF(166,114) = HCF(1276,166) = HCF(1442,1276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96415 > 2, we apply the division lemma to 96415 and 2, to get
96415 = 2 x 48207 + 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 96415 is 1
Notice that 1 = HCF(2,1) = HCF(96415,2) .
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Frequently Asked Questions on HCF of 1442, 1276, 96415 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 1442, 1276, 96415?
Answer: HCF of 1442, 1276, 96415 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1442, 1276, 96415 using Euclid's Algorithm?
Answer: For arbitrary numbers 1442, 1276, 96415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.