Highest Common Factor of 615, 448, 31, 389 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 615, 448, 31, 389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 448, 31, 389 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 615, 448, 31, 389 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 615, 448, 31, 389 is 1.
HCF(615, 448, 31, 389) = 1
HCF of 615, 448, 31, 389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 448, 31, 389 is 1.
Highest Common Factor of 615,448,31,389 is 1
Step 1: Since 615 > 448, we apply the division lemma to 615 and 448, to get
615 = 448 x 1 + 167
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 167 and 448, to get
448 = 167 x 2 + 114
Step 3: We consider the new divisor 167 and the new remainder 114, and apply the division lemma to get
167 = 114 x 1 + 53
We consider the new divisor 114 and the new remainder 53,and apply the division lemma to get
114 = 53 x 2 + 8
We consider the new divisor 53 and the new remainder 8,and apply the division lemma to get
53 = 8 x 6 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 615 and 448 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(53,8) = HCF(114,53) = HCF(167,114) = HCF(448,167) = HCF(615,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 31 > 1, we apply the division lemma to 31 and 1, to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31 is 1
Notice that 1 = HCF(31,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 389 > 1, we apply the division lemma to 389 and 1, to get
389 = 1 x 389 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 389 is 1
Notice that 1 = HCF(389,1) .
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Frequently Asked Questions on HCF of 615, 448, 31, 389 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 615, 448, 31, 389?
Answer: HCF of 615, 448, 31, 389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 448, 31, 389 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 448, 31, 389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.