Highest Common Factor of 739, 179, 109 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, 179, 109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 739, 179, 109 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, 179, 109 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, 179, 109 is 1.
HCF(739, 179, 109) = 1
HCF of 739, 179, 109 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, 179, 109 is 1.
Highest Common Factor of 739,179,109 is 1
Step 1: Since 739 > 179, we apply the division lemma to 739 and 179, to get
739 = 179 x 4 + 23
Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 23 and 179, to get
179 = 23 x 7 + 18
Step 3: We consider the new divisor 23 and the new remainder 18, and apply the division lemma to get
23 = 18 x 1 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 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 179 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(179,23) = HCF(739,179) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 109 > 1, we apply the division lemma to 109 and 1, to get
109 = 1 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 109 is 1
Notice that 1 = HCF(109,1) .
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Frequently Asked Questions on HCF of 739, 179, 109 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, 179, 109?
Answer: HCF of 739, 179, 109 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 739, 179, 109 using Euclid's Algorithm?
Answer: For arbitrary numbers 739, 179, 109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.