Highest Common Factor of 621, 381, 279 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 621, 381, 279 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 621, 381, 279 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 621, 381, 279 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 621, 381, 279 is 3.
HCF(621, 381, 279) = 3
HCF of 621, 381, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 621, 381, 279 is 3.
Highest Common Factor of 621,381,279 is 3
Step 1: Since 621 > 381, we apply the division lemma to 621 and 381, to get
621 = 381 x 1 + 240
Step 2: Since the reminder 381 ≠ 0, we apply division lemma to 240 and 381, to get
381 = 240 x 1 + 141
Step 3: We consider the new divisor 240 and the new remainder 141, and apply the division lemma to get
240 = 141 x 1 + 99
We consider the new divisor 141 and the new remainder 99,and apply the division lemma to get
141 = 99 x 1 + 42
We consider the new divisor 99 and the new remainder 42,and apply the division lemma to get
99 = 42 x 2 + 15
We consider the new divisor 42 and the new remainder 15,and apply the division lemma to get
42 = 15 x 2 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 621 and 381 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(42,15) = HCF(99,42) = HCF(141,99) = HCF(240,141) = HCF(381,240) = HCF(621,381) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 3, we apply the division lemma to 279 and 3, to get
279 = 3 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 279 is 3
Notice that 3 = HCF(279,3) .
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Frequently Asked Questions on HCF of 621, 381, 279 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 621, 381, 279?
Answer: HCF of 621, 381, 279 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 621, 381, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 621, 381, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.