Highest Common Factor of 450, 45, 257, 936 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 450, 45, 257, 936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 450, 45, 257, 936 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 450, 45, 257, 936 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 450, 45, 257, 936 is 1.
HCF(450, 45, 257, 936) = 1
HCF of 450, 45, 257, 936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 450, 45, 257, 936 is 1.
Highest Common Factor of 450,45,257,936 is 1
Step 1: Since 450 > 45, we apply the division lemma to 450 and 45, to get
450 = 45 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 45, the HCF of 450 and 45 is 45
Notice that 45 = HCF(450,45) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 257 > 45, we apply the division lemma to 257 and 45, to get
257 = 45 x 5 + 32
Step 2: Since the reminder 45 ≠ 0, we apply division lemma to 32 and 45, to get
45 = 32 x 1 + 13
Step 3: We consider the new divisor 32 and the new remainder 13, and apply the division lemma to get
32 = 13 x 2 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma 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 45 and 257 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(45,32) = HCF(257,45) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 936 > 1, we apply the division lemma to 936 and 1, to get
936 = 1 x 936 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 936 is 1
Notice that 1 = HCF(936,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 450, 45, 257, 936 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 450, 45, 257, 936?
Answer: HCF of 450, 45, 257, 936 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 450, 45, 257, 936 using Euclid's Algorithm?
Answer: For arbitrary numbers 450, 45, 257, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
