Highest Common Factor of 408, 773, 976 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 408, 773, 976 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 408, 773, 976 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 408, 773, 976 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 408, 773, 976 is 1.
HCF(408, 773, 976) = 1
HCF of 408, 773, 976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 408, 773, 976 is 1.
Highest Common Factor of 408,773,976 is 1
Step 1: Since 773 > 408, we apply the division lemma to 773 and 408, to get
773 = 408 x 1 + 365
Step 2: Since the reminder 408 ≠ 0, we apply division lemma to 365 and 408, to get
408 = 365 x 1 + 43
Step 3: We consider the new divisor 365 and the new remainder 43, and apply the division lemma to get
365 = 43 x 8 + 21
We consider the new divisor 43 and the new remainder 21,and apply the division lemma to get
43 = 21 x 2 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 408 and 773 is 1
Notice that 1 = HCF(21,1) = HCF(43,21) = HCF(365,43) = HCF(408,365) = HCF(773,408) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 976 > 1, we apply the division lemma to 976 and 1, to get
976 = 1 x 976 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 976 is 1
Notice that 1 = HCF(976,1) .
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Frequently Asked Questions on HCF of 408, 773, 976 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 408, 773, 976?
Answer: HCF of 408, 773, 976 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 408, 773, 976 using Euclid's Algorithm?
Answer: For arbitrary numbers 408, 773, 976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.