Highest Common Factor of 448, 230, 667 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 448, 230, 667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 448, 230, 667 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 448, 230, 667 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 448, 230, 667 is 1.
HCF(448, 230, 667) = 1
HCF of 448, 230, 667 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 448, 230, 667 is 1.
Highest Common Factor of 448,230,667 is 1
Step 1: Since 448 > 230, we apply the division lemma to 448 and 230, to get
448 = 230 x 1 + 218
Step 2: Since the reminder 230 ≠ 0, we apply division lemma to 218 and 230, to get
230 = 218 x 1 + 12
Step 3: We consider the new divisor 218 and the new remainder 12, and apply the division lemma to get
218 = 12 x 18 + 2
We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 448 and 230 is 2
Notice that 2 = HCF(12,2) = HCF(218,12) = HCF(230,218) = HCF(448,230) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 667 > 2, we apply the division lemma to 667 and 2, to get
667 = 2 x 333 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 667 is 1
Notice that 1 = HCF(2,1) = HCF(667,2) .
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Frequently Asked Questions on HCF of 448, 230, 667 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 448, 230, 667?
Answer: HCF of 448, 230, 667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 448, 230, 667 using Euclid's Algorithm?
Answer: For arbitrary numbers 448, 230, 667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.