Highest Common Factor of 176, 1539 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 176, 1539 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 176, 1539 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 176, 1539 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 176, 1539 is 1.
HCF(176, 1539) = 1
HCF of 176, 1539 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 176, 1539 is 1.
Highest Common Factor of 176,1539 is 1
Step 1: Since 1539 > 176, we apply the division lemma to 1539 and 176, to get
1539 = 176 x 8 + 131
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 131 and 176, to get
176 = 131 x 1 + 45
Step 3: We consider the new divisor 131 and the new remainder 45, and apply the division lemma to get
131 = 45 x 2 + 41
We consider the new divisor 45 and the new remainder 41,and apply the division lemma to get
45 = 41 x 1 + 4
We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get
41 = 4 x 10 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 176 and 1539 is 1
Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(45,41) = HCF(131,45) = HCF(176,131) = HCF(1539,176) .
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Frequently Asked Questions on HCF of 176, 1539 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 176, 1539?
Answer: HCF of 176, 1539 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 176, 1539 using Euclid's Algorithm?
Answer: For arbitrary numbers 176, 1539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.