Highest Common Factor of 910, 815, 33, 909 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 910, 815, 33, 909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 815, 33, 909 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 910, 815, 33, 909 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 910, 815, 33, 909 is 1.
HCF(910, 815, 33, 909) = 1
HCF of 910, 815, 33, 909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 815, 33, 909 is 1.
Highest Common Factor of 910,815,33,909 is 1
Step 1: Since 910 > 815, we apply the division lemma to 910 and 815, to get
910 = 815 x 1 + 95
Step 2: Since the reminder 815 ≠ 0, we apply division lemma to 95 and 815, to get
815 = 95 x 8 + 55
Step 3: We consider the new divisor 95 and the new remainder 55, and apply the division lemma to get
95 = 55 x 1 + 40
We consider the new divisor 55 and the new remainder 40,and apply the division lemma to get
55 = 40 x 1 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 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 910 and 815 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(55,40) = HCF(95,55) = HCF(815,95) = HCF(910,815) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33 > 5, we apply the division lemma to 33 and 5, to get
33 = 5 x 6 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 33 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 909 > 1, we apply the division lemma to 909 and 1, to get
909 = 1 x 909 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 909 is 1
Notice that 1 = HCF(909,1) .
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Frequently Asked Questions on HCF of 910, 815, 33, 909 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 910, 815, 33, 909?
Answer: HCF of 910, 815, 33, 909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 815, 33, 909 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 815, 33, 909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.