Highest Common Factor of 976, 521, 185 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, 521, 185 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 521, 185 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 976, 521, 185 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, 521, 185 is 1.
HCF(976, 521, 185) = 1
HCF of 976, 521, 185 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, 521, 185 is 1.
Highest Common Factor of 976,521,185 is 1
Step 1: Since 976 > 521, we apply the division lemma to 976 and 521, to get
976 = 521 x 1 + 455
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 455 and 521, to get
521 = 455 x 1 + 66
Step 3: We consider the new divisor 455 and the new remainder 66, and apply the division lemma to get
455 = 66 x 6 + 59
We consider the new divisor 66 and the new remainder 59,and apply the division lemma to get
66 = 59 x 1 + 7
We consider the new divisor 59 and the new remainder 7,and apply the division lemma to get
59 = 7 x 8 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 521 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(59,7) = HCF(66,59) = HCF(455,66) = HCF(521,455) = HCF(976,521) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 185 > 1, we apply the division lemma to 185 and 1, to get
185 = 1 x 185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 185 is 1
Notice that 1 = HCF(185,1) .
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Frequently Asked Questions on HCF of 976, 521, 185 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, 521, 185?
Answer: HCF of 976, 521, 185 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 521, 185 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 521, 185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.