Highest Common Factor of 747, 249, 405 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 747, 249, 405 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 249, 405 is 3 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 747, 249, 405 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 747, 249, 405 is 3.
HCF(747, 249, 405) = 3
HCF of 747, 249, 405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 249, 405 is 3.
Highest Common Factor of 747,249,405 is 3
Step 1: Since 747 > 249, we apply the division lemma to 747 and 249, to get
747 = 249 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 249, the HCF of 747 and 249 is 249
Notice that 249 = HCF(747,249) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 405 > 249, we apply the division lemma to 405 and 249, to get
405 = 249 x 1 + 156
Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 156 and 249, to get
249 = 156 x 1 + 93
Step 3: We consider the new divisor 156 and the new remainder 93, and apply the division lemma to get
156 = 93 x 1 + 63
We consider the new divisor 93 and the new remainder 63,and apply the division lemma to get
93 = 63 x 1 + 30
We consider the new divisor 63 and the new remainder 30,and apply the division lemma to get
63 = 30 x 2 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 249 and 405 is 3
Notice that 3 = HCF(30,3) = HCF(63,30) = HCF(93,63) = HCF(156,93) = HCF(249,156) = HCF(405,249) .
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Frequently Asked Questions on HCF of 747, 249, 405 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 747, 249, 405?
Answer: HCF of 747, 249, 405 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 249, 405 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 249, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.