Highest Common Factor of 176, 407, 175 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, 407, 175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 176, 407, 175 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, 407, 175 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, 407, 175 is 1.
HCF(176, 407, 175) = 1
HCF of 176, 407, 175 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, 407, 175 is 1.
Highest Common Factor of 176,407,175 is 1
Step 1: Since 407 > 176, we apply the division lemma to 407 and 176, to get
407 = 176 x 2 + 55
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 55 and 176, to get
176 = 55 x 3 + 11
Step 3: We consider the new divisor 55 and the new remainder 11, and apply the division lemma to get
55 = 11 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 176 and 407 is 11
Notice that 11 = HCF(55,11) = HCF(176,55) = HCF(407,176) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 175 > 11, we apply the division lemma to 175 and 11, to get
175 = 11 x 15 + 10
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 10 and 11, to get
11 = 10 x 1 + 1
Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 175 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(175,11) .
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Frequently Asked Questions on HCF of 176, 407, 175 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, 407, 175?
Answer: HCF of 176, 407, 175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 176, 407, 175 using Euclid's Algorithm?
Answer: For arbitrary numbers 176, 407, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.