Highest Common Factor of 286, 741, 468 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 286, 741, 468 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 286, 741, 468 is 13 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 286, 741, 468 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 286, 741, 468 is 13.
HCF(286, 741, 468) = 13
HCF of 286, 741, 468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 286, 741, 468 is 13.
Highest Common Factor of 286,741,468 is 13
Step 1: Since 741 > 286, we apply the division lemma to 741 and 286, to get
741 = 286 x 2 + 169
Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 169 and 286, to get
286 = 169 x 1 + 117
Step 3: We consider the new divisor 169 and the new remainder 117, and apply the division lemma to get
169 = 117 x 1 + 52
We consider the new divisor 117 and the new remainder 52,and apply the division lemma to get
117 = 52 x 2 + 13
We consider the new divisor 52 and the new remainder 13,and apply the division lemma to get
52 = 13 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 286 and 741 is 13
Notice that 13 = HCF(52,13) = HCF(117,52) = HCF(169,117) = HCF(286,169) = HCF(741,286) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 468 > 13, we apply the division lemma to 468 and 13, to get
468 = 13 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 13 and 468 is 13
Notice that 13 = HCF(468,13) .
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Frequently Asked Questions on HCF of 286, 741, 468 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 286, 741, 468?
Answer: HCF of 286, 741, 468 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 286, 741, 468 using Euclid's Algorithm?
Answer: For arbitrary numbers 286, 741, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.