Highest Common Factor of 810, 953, 135, 93 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 810, 953, 135, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 810, 953, 135, 93 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 810, 953, 135, 93 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 810, 953, 135, 93 is 1.
HCF(810, 953, 135, 93) = 1
HCF of 810, 953, 135, 93 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 810, 953, 135, 93 is 1.
Highest Common Factor of 810,953,135,93 is 1
Step 1: Since 953 > 810, we apply the division lemma to 953 and 810, to get
953 = 810 x 1 + 143
Step 2: Since the reminder 810 ≠ 0, we apply division lemma to 143 and 810, to get
810 = 143 x 5 + 95
Step 3: We consider the new divisor 143 and the new remainder 95, and apply the division lemma to get
143 = 95 x 1 + 48
We consider the new divisor 95 and the new remainder 48,and apply the division lemma to get
95 = 48 x 1 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 810 and 953 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(95,48) = HCF(143,95) = HCF(810,143) = HCF(953,810) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 135 > 1, we apply the division lemma to 135 and 1, to get
135 = 1 x 135 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 135 is 1
Notice that 1 = HCF(135,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1
Notice that 1 = HCF(93,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 810, 953, 135, 93 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 810, 953, 135, 93?
Answer: HCF of 810, 953, 135, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 810, 953, 135, 93 using Euclid's Algorithm?
Answer: For arbitrary numbers 810, 953, 135, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.