Highest Common Factor of 2013, 6907 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 2013, 6907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2013, 6907 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 2013, 6907 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 2013, 6907 is 1.
HCF(2013, 6907) = 1
HCF of 2013, 6907 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2013, 6907 is 1.
Highest Common Factor of 2013,6907 is 1
Step 1: Since 6907 > 2013, we apply the division lemma to 6907 and 2013, to get
6907 = 2013 x 3 + 868
Step 2: Since the reminder 2013 ≠ 0, we apply division lemma to 868 and 2013, to get
2013 = 868 x 2 + 277
Step 3: We consider the new divisor 868 and the new remainder 277, and apply the division lemma to get
868 = 277 x 3 + 37
We consider the new divisor 277 and the new remainder 37,and apply the division lemma to get
277 = 37 x 7 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2013 and 6907 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(277,37) = HCF(868,277) = HCF(2013,868) = HCF(6907,2013) .
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Frequently Asked Questions on HCF of 2013, 6907 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 2013, 6907?
Answer: HCF of 2013, 6907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2013, 6907 using Euclid's Algorithm?
Answer: For arbitrary numbers 2013, 6907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
