Highest Common Factor of 6107, 3310 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 6107, 3310 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6107, 3310 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 6107, 3310 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 6107, 3310 is 1.
HCF(6107, 3310) = 1
HCF of 6107, 3310 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6107, 3310 is 1.
Highest Common Factor of 6107,3310 is 1
Step 1: Since 6107 > 3310, we apply the division lemma to 6107 and 3310, to get
6107 = 3310 x 1 + 2797
Step 2: Since the reminder 3310 ≠ 0, we apply division lemma to 2797 and 3310, to get
3310 = 2797 x 1 + 513
Step 3: We consider the new divisor 2797 and the new remainder 513, and apply the division lemma to get
2797 = 513 x 5 + 232
We consider the new divisor 513 and the new remainder 232,and apply the division lemma to get
513 = 232 x 2 + 49
We consider the new divisor 232 and the new remainder 49,and apply the division lemma to get
232 = 49 x 4 + 36
We consider the new divisor 49 and the new remainder 36,and apply the division lemma to get
49 = 36 x 1 + 13
We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get
36 = 13 x 2 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6107 and 3310 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(49,36) = HCF(232,49) = HCF(513,232) = HCF(2797,513) = HCF(3310,2797) = HCF(6107,3310) .
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Frequently Asked Questions on HCF of 6107, 3310 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 6107, 3310?
Answer: HCF of 6107, 3310 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6107, 3310 using Euclid's Algorithm?
Answer: For arbitrary numbers 6107, 3310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.