Highest Common Factor of 739, 2378 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 739, 2378 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 739, 2378 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 739, 2378 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 739, 2378 is 1.
HCF(739, 2378) = 1
HCF of 739, 2378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 739, 2378 is 1.
Highest Common Factor of 739,2378 is 1
Step 1: Since 2378 > 739, we apply the division lemma to 2378 and 739, to get
2378 = 739 x 3 + 161
Step 2: Since the reminder 739 ≠ 0, we apply division lemma to 161 and 739, to get
739 = 161 x 4 + 95
Step 3: We consider the new divisor 161 and the new remainder 95, and apply the division lemma to get
161 = 95 x 1 + 66
We consider the new divisor 95 and the new remainder 66,and apply the division lemma to get
95 = 66 x 1 + 29
We consider the new divisor 66 and the new remainder 29,and apply the division lemma to get
66 = 29 x 2 + 8
We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get
29 = 8 x 3 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 739 and 2378 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(66,29) = HCF(95,66) = HCF(161,95) = HCF(739,161) = HCF(2378,739) .
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Frequently Asked Questions on HCF of 739, 2378 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 739, 2378?
Answer: HCF of 739, 2378 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 739, 2378 using Euclid's Algorithm?
Answer: For arbitrary numbers 739, 2378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.