Highest Common Factor of 3910, 5105, 33732 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 3910, 5105, 33732 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3910, 5105, 33732 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 3910, 5105, 33732 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 3910, 5105, 33732 is 1.
HCF(3910, 5105, 33732) = 1
HCF of 3910, 5105, 33732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3910, 5105, 33732 is 1.
Highest Common Factor of 3910,5105,33732 is 1
Step 1: Since 5105 > 3910, we apply the division lemma to 5105 and 3910, to get
5105 = 3910 x 1 + 1195
Step 2: Since the reminder 3910 ≠ 0, we apply division lemma to 1195 and 3910, to get
3910 = 1195 x 3 + 325
Step 3: We consider the new divisor 1195 and the new remainder 325, and apply the division lemma to get
1195 = 325 x 3 + 220
We consider the new divisor 325 and the new remainder 220,and apply the division lemma to get
325 = 220 x 1 + 105
We consider the new divisor 220 and the new remainder 105,and apply the division lemma to get
220 = 105 x 2 + 10
We consider the new divisor 105 and the new remainder 10,and apply the division lemma to get
105 = 10 x 10 + 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 3910 and 5105 is 5
Notice that 5 = HCF(10,5) = HCF(105,10) = HCF(220,105) = HCF(325,220) = HCF(1195,325) = HCF(3910,1195) = HCF(5105,3910) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33732 > 5, we apply the division lemma to 33732 and 5, to get
33732 = 5 x 6746 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 33732 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(33732,5) .
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Frequently Asked Questions on HCF of 3910, 5105, 33732 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 3910, 5105, 33732?
Answer: HCF of 3910, 5105, 33732 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3910, 5105, 33732 using Euclid's Algorithm?
Answer: For arbitrary numbers 3910, 5105, 33732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
