Highest Common Factor of 3913, 3090 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 3913, 3090 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3913, 3090 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 3913, 3090 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 3913, 3090 is 1.
HCF(3913, 3090) = 1
HCF of 3913, 3090 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3913, 3090 is 1.
Highest Common Factor of 3913,3090 is 1
Step 1: Since 3913 > 3090, we apply the division lemma to 3913 and 3090, to get
3913 = 3090 x 1 + 823
Step 2: Since the reminder 3090 ≠ 0, we apply division lemma to 823 and 3090, to get
3090 = 823 x 3 + 621
Step 3: We consider the new divisor 823 and the new remainder 621, and apply the division lemma to get
823 = 621 x 1 + 202
We consider the new divisor 621 and the new remainder 202,and apply the division lemma to get
621 = 202 x 3 + 15
We consider the new divisor 202 and the new remainder 15,and apply the division lemma to get
202 = 15 x 13 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3913 and 3090 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(202,15) = HCF(621,202) = HCF(823,621) = HCF(3090,823) = HCF(3913,3090) .
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Frequently Asked Questions on HCF of 3913, 3090 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 3913, 3090?
Answer: HCF of 3913, 3090 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3913, 3090 using Euclid's Algorithm?
Answer: For arbitrary numbers 3913, 3090 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
