Highest Common Factor of 308, 539, 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 308, 539, 976 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 308, 539, 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 308, 539, 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 308, 539, 976 is 1.
HCF(308, 539, 976) = 1
HCF of 308, 539, 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 308, 539, 976 is 1.
Highest Common Factor of 308,539,976 is 1
Step 1: Since 539 > 308, we apply the division lemma to 539 and 308, to get
539 = 308 x 1 + 231
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 231 and 308, to get
308 = 231 x 1 + 77
Step 3: We consider the new divisor 231 and the new remainder 77, and apply the division lemma to get
231 = 77 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 77, the HCF of 308 and 539 is 77
Notice that 77 = HCF(231,77) = HCF(308,231) = HCF(539,308) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 976 > 77, we apply the division lemma to 976 and 77, to get
976 = 77 x 12 + 52
Step 2: Since the reminder 77 ≠ 0, we apply division lemma to 52 and 77, to get
77 = 52 x 1 + 25
Step 3: We consider the new divisor 52 and the new remainder 25, and apply the division lemma to get
52 = 25 x 2 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 77 and 976 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(976,77) .
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Frequently Asked Questions on HCF of 308, 539, 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 308, 539, 976?
Answer: HCF of 308, 539, 976 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 308, 539, 976 using Euclid's Algorithm?
Answer: For arbitrary numbers 308, 539, 976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.