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 9007, 2713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9007, 2713 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 9007, 2713 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 9007, 2713 is 1.
HCF(9007, 2713) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9007, 2713 is 1.
Step 1: Since 9007 > 2713, we apply the division lemma to 9007 and 2713, to get
9007 = 2713 x 3 + 868
Step 2: Since the reminder 2713 ≠ 0, we apply division lemma to 868 and 2713, to get
2713 = 868 x 3 + 109
Step 3: We consider the new divisor 868 and the new remainder 109, and apply the division lemma to get
868 = 109 x 7 + 105
We consider the new divisor 109 and the new remainder 105,and apply the division lemma to get
109 = 105 x 1 + 4
We consider the new divisor 105 and the new remainder 4,and apply the division lemma to get
105 = 4 x 26 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9007 and 2713 is 1
Notice that 1 = HCF(4,1) = HCF(105,4) = HCF(109,105) = HCF(868,109) = HCF(2713,868) = HCF(9007,2713) .
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 9007, 2713?
Answer: HCF of 9007, 2713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9007, 2713 using Euclid's Algorithm?
Answer: For arbitrary numbers 9007, 2713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.