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 2369, 6907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2369, 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 2369, 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 2369, 6907 is 1.
HCF(2369, 6907) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2369, 6907 is 1.
Step 1: Since 6907 > 2369, we apply the division lemma to 6907 and 2369, to get
6907 = 2369 x 2 + 2169
Step 2: Since the reminder 2369 ≠ 0, we apply division lemma to 2169 and 2369, to get
2369 = 2169 x 1 + 200
Step 3: We consider the new divisor 2169 and the new remainder 200, and apply the division lemma to get
2169 = 200 x 10 + 169
We consider the new divisor 200 and the new remainder 169,and apply the division lemma to get
200 = 169 x 1 + 31
We consider the new divisor 169 and the new remainder 31,and apply the division lemma to get
169 = 31 x 5 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
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 2369 and 6907 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(169,31) = HCF(200,169) = HCF(2169,200) = HCF(2369,2169) = HCF(6907,2369) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2369, 6907?
Answer: HCF of 2369, 6907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2369, 6907 using Euclid's Algorithm?
Answer: For arbitrary numbers 2369, 6907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.