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 2897, 6739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2897, 6739 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 2897, 6739 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 2897, 6739 is 1.
HCF(2897, 6739) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2897, 6739 is 1.
Step 1: Since 6739 > 2897, we apply the division lemma to 6739 and 2897, to get
6739 = 2897 x 2 + 945
Step 2: Since the reminder 2897 ≠ 0, we apply division lemma to 945 and 2897, to get
2897 = 945 x 3 + 62
Step 3: We consider the new divisor 945 and the new remainder 62, and apply the division lemma to get
945 = 62 x 15 + 15
We consider the new divisor 62 and the new remainder 15,and apply the division lemma to get
62 = 15 x 4 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 2897 and 6739 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(62,15) = HCF(945,62) = HCF(2897,945) = HCF(6739,2897) .
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 2897, 6739?
Answer: HCF of 2897, 6739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2897, 6739 using Euclid's Algorithm?
Answer: For arbitrary numbers 2897, 6739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.