Highest Common Factor of 976, 366, 328 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 976, 366, 328 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 366, 328 is 2 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 976, 366, 328 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 976, 366, 328 is 2.
HCF(976, 366, 328) = 2
HCF of 976, 366, 328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 366, 328 is 2.
Highest Common Factor of 976,366,328 is 2
Step 1: Since 976 > 366, we apply the division lemma to 976 and 366, to get
976 = 366 x 2 + 244
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 244 and 366, to get
366 = 244 x 1 + 122
Step 3: We consider the new divisor 244 and the new remainder 122, and apply the division lemma to get
244 = 122 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 122, the HCF of 976 and 366 is 122
Notice that 122 = HCF(244,122) = HCF(366,244) = HCF(976,366) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 328 > 122, we apply the division lemma to 328 and 122, to get
328 = 122 x 2 + 84
Step 2: Since the reminder 122 ≠ 0, we apply division lemma to 84 and 122, to get
122 = 84 x 1 + 38
Step 3: We consider the new divisor 84 and the new remainder 38, and apply the division lemma to get
84 = 38 x 2 + 8
We consider the new divisor 38 and the new remainder 8,and apply the division lemma to get
38 = 8 x 4 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 122 and 328 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(38,8) = HCF(84,38) = HCF(122,84) = HCF(328,122) .
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Frequently Asked Questions on HCF of 976, 366, 328 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 976, 366, 328?
Answer: HCF of 976, 366, 328 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 366, 328 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 366, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.