Highest Common Factor of 905, 450, 880, 49 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 905, 450, 880, 49 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 905, 450, 880, 49 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 905, 450, 880, 49 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 905, 450, 880, 49 is 1.
HCF(905, 450, 880, 49) = 1
HCF of 905, 450, 880, 49 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 905, 450, 880, 49 is 1.
Highest Common Factor of 905,450,880,49 is 1
Step 1: Since 905 > 450, we apply the division lemma to 905 and 450, to get
905 = 450 x 2 + 5
Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 5 and 450, to get
450 = 5 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 905 and 450 is 5
Notice that 5 = HCF(450,5) = HCF(905,450) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 880 > 5, we apply the division lemma to 880 and 5, to get
880 = 5 x 176 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 880 is 5
Notice that 5 = HCF(880,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49 > 5, we apply the division lemma to 49 and 5, to get
49 = 5 x 9 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 49 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 905, 450, 880, 49 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 905, 450, 880, 49?
Answer: HCF of 905, 450, 880, 49 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 905, 450, 880, 49 using Euclid's Algorithm?
Answer: For arbitrary numbers 905, 450, 880, 49 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.