Highest Common Factor of 456, 822, 727, 387 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 456, 822, 727, 387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 456, 822, 727, 387 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 456, 822, 727, 387 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 456, 822, 727, 387 is 1.
HCF(456, 822, 727, 387) = 1
HCF of 456, 822, 727, 387 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 456, 822, 727, 387 is 1.
Highest Common Factor of 456,822,727,387 is 1
Step 1: Since 822 > 456, we apply the division lemma to 822 and 456, to get
822 = 456 x 1 + 366
Step 2: Since the reminder 456 ≠ 0, we apply division lemma to 366 and 456, to get
456 = 366 x 1 + 90
Step 3: We consider the new divisor 366 and the new remainder 90, and apply the division lemma to get
366 = 90 x 4 + 6
We consider the new divisor 90 and the new remainder 6, and apply the division lemma to get
90 = 6 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 456 and 822 is 6
Notice that 6 = HCF(90,6) = HCF(366,90) = HCF(456,366) = HCF(822,456) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 727 > 6, we apply the division lemma to 727 and 6, to get
727 = 6 x 121 + 1
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 1 and 6, to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 727 is 1
Notice that 1 = HCF(6,1) = HCF(727,6) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 387 > 1, we apply the division lemma to 387 and 1, to get
387 = 1 x 387 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 387 is 1
Notice that 1 = HCF(387,1) .
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Frequently Asked Questions on HCF of 456, 822, 727, 387 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 456, 822, 727, 387?
Answer: HCF of 456, 822, 727, 387 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 456, 822, 727, 387 using Euclid's Algorithm?
Answer: For arbitrary numbers 456, 822, 727, 387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.