Highest Common Factor of 176, 946, 441 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, 946, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 176, 946, 441 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, 946, 441 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, 946, 441 is 1.
HCF(176, 946, 441) = 1
HCF of 176, 946, 441 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, 946, 441 is 1.
Highest Common Factor of 176,946,441 is 1
Step 1: Since 946 > 176, we apply the division lemma to 946 and 176, to get
946 = 176 x 5 + 66
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 66 and 176, to get
176 = 66 x 2 + 44
Step 3: We consider the new divisor 66 and the new remainder 44, and apply the division lemma to get
66 = 44 x 1 + 22
We consider the new divisor 44 and the new remainder 22, and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 176 and 946 is 22
Notice that 22 = HCF(44,22) = HCF(66,44) = HCF(176,66) = HCF(946,176) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 22, we apply the division lemma to 441 and 22, to get
441 = 22 x 20 + 1
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 1 and 22, to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 22 and 441 is 1
Notice that 1 = HCF(22,1) = HCF(441,22) .
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Frequently Asked Questions on HCF of 176, 946, 441 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, 946, 441?
Answer: HCF of 176, 946, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 176, 946, 441 using Euclid's Algorithm?
Answer: For arbitrary numbers 176, 946, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.