Highest Common Factor of 448, 737 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, 737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 448, 737 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, 737 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, 737 is 1.
HCF(448, 737) = 1
HCF of 448, 737 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, 737 is 1.
Highest Common Factor of 448,737 is 1
Step 1: Since 737 > 448, we apply the division lemma to 737 and 448, to get
737 = 448 x 1 + 289
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 289 and 448, to get
448 = 289 x 1 + 159
Step 3: We consider the new divisor 289 and the new remainder 159, and apply the division lemma to get
289 = 159 x 1 + 130
We consider the new divisor 159 and the new remainder 130,and apply the division lemma to get
159 = 130 x 1 + 29
We consider the new divisor 130 and the new remainder 29,and apply the division lemma to get
130 = 29 x 4 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 448 and 737 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(130,29) = HCF(159,130) = HCF(289,159) = HCF(448,289) = HCF(737,448) .
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Frequently Asked Questions on HCF of 448, 737 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, 737?
Answer: HCF of 448, 737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 448, 737 using Euclid's Algorithm?
Answer: For arbitrary numbers 448, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.