Highest Common Factor of 811, 877, 975, 115 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 811, 877, 975, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 877, 975, 115 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 811, 877, 975, 115 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 811, 877, 975, 115 is 1.
HCF(811, 877, 975, 115) = 1
HCF of 811, 877, 975, 115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 877, 975, 115 is 1.
Highest Common Factor of 811,877,975,115 is 1
Step 1: Since 877 > 811, we apply the division lemma to 877 and 811, to get
877 = 811 x 1 + 66
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 66 and 811, to get
811 = 66 x 12 + 19
Step 3: We consider the new divisor 66 and the new remainder 19, and apply the division lemma to get
66 = 19 x 3 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 877 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(66,19) = HCF(811,66) = HCF(877,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 975 > 1, we apply the division lemma to 975 and 1, to get
975 = 1 x 975 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 975 is 1
Notice that 1 = HCF(975,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get
115 = 1 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1
Notice that 1 = HCF(115,1) .
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Frequently Asked Questions on HCF of 811, 877, 975, 115 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 811, 877, 975, 115?
Answer: HCF of 811, 877, 975, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 877, 975, 115 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 877, 975, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.