Highest Common Factor of 905, 945, 135, 895 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, 945, 135, 895 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 905, 945, 135, 895 is 5 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, 945, 135, 895 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, 945, 135, 895 is 5.
HCF(905, 945, 135, 895) = 5
HCF of 905, 945, 135, 895 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, 945, 135, 895 is 5.
Highest Common Factor of 905,945,135,895 is 5
Step 1: Since 945 > 905, we apply the division lemma to 945 and 905, to get
945 = 905 x 1 + 40
Step 2: Since the reminder 905 ≠ 0, we apply division lemma to 40 and 905, to get
905 = 40 x 22 + 25
Step 3: We consider the new divisor 40 and the new remainder 25, and apply the division lemma to get
40 = 25 x 1 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 905 and 945 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(40,25) = HCF(905,40) = HCF(945,905) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 135 > 5, we apply the division lemma to 135 and 5, to get
135 = 5 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 135 is 5
Notice that 5 = HCF(135,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 895 > 5, we apply the division lemma to 895 and 5, to get
895 = 5 x 179 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 895 is 5
Notice that 5 = HCF(895,5) .
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, 945, 135, 895 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, 945, 135, 895?
Answer: HCF of 905, 945, 135, 895 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 905, 945, 135, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 905, 945, 135, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.