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 7007, 2683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7007, 2683 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 7007, 2683 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 7007, 2683 is 1.
HCF(7007, 2683) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7007, 2683 is 1.
Step 1: Since 7007 > 2683, we apply the division lemma to 7007 and 2683, to get
7007 = 2683 x 2 + 1641
Step 2: Since the reminder 2683 ≠ 0, we apply division lemma to 1641 and 2683, to get
2683 = 1641 x 1 + 1042
Step 3: We consider the new divisor 1641 and the new remainder 1042, and apply the division lemma to get
1641 = 1042 x 1 + 599
We consider the new divisor 1042 and the new remainder 599,and apply the division lemma to get
1042 = 599 x 1 + 443
We consider the new divisor 599 and the new remainder 443,and apply the division lemma to get
599 = 443 x 1 + 156
We consider the new divisor 443 and the new remainder 156,and apply the division lemma to get
443 = 156 x 2 + 131
We consider the new divisor 156 and the new remainder 131,and apply the division lemma to get
156 = 131 x 1 + 25
We consider the new divisor 131 and the new remainder 25,and apply the division lemma to get
131 = 25 x 5 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7007 and 2683 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(131,25) = HCF(156,131) = HCF(443,156) = HCF(599,443) = HCF(1042,599) = HCF(1641,1042) = HCF(2683,1641) = HCF(7007,2683) .
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 7007, 2683?
Answer: HCF of 7007, 2683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7007, 2683 using Euclid's Algorithm?
Answer: For arbitrary numbers 7007, 2683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.