Highest Common Factor of 379, 95406 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 379, 95406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 379, 95406 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 379, 95406 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 379, 95406 is 1.
HCF(379, 95406) = 1
HCF of 379, 95406 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 379, 95406 is 1.
Highest Common Factor of 379,95406 is 1
Step 1: Since 95406 > 379, we apply the division lemma to 95406 and 379, to get
95406 = 379 x 251 + 277
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 277 and 379, to get
379 = 277 x 1 + 102
Step 3: We consider the new divisor 277 and the new remainder 102, and apply the division lemma to get
277 = 102 x 2 + 73
We consider the new divisor 102 and the new remainder 73,and apply the division lemma to get
102 = 73 x 1 + 29
We consider the new divisor 73 and the new remainder 29,and apply the division lemma to get
73 = 29 x 2 + 15
We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 379 and 95406 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(73,29) = HCF(102,73) = HCF(277,102) = HCF(379,277) = HCF(95406,379) .
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Frequently Asked Questions on HCF of 379, 95406 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 379, 95406?
Answer: HCF of 379, 95406 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 379, 95406 using Euclid's Algorithm?
Answer: For arbitrary numbers 379, 95406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
