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 6527, 2964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6527, 2964 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 6527, 2964 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 6527, 2964 is 1.
HCF(6527, 2964) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6527, 2964 is 1.
Step 1: Since 6527 > 2964, we apply the division lemma to 6527 and 2964, to get
6527 = 2964 x 2 + 599
Step 2: Since the reminder 2964 ≠ 0, we apply division lemma to 599 and 2964, to get
2964 = 599 x 4 + 568
Step 3: We consider the new divisor 599 and the new remainder 568, and apply the division lemma to get
599 = 568 x 1 + 31
We consider the new divisor 568 and the new remainder 31,and apply the division lemma to get
568 = 31 x 18 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6527 and 2964 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(568,31) = HCF(599,568) = HCF(2964,599) = HCF(6527,2964) .
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 6527, 2964?
Answer: HCF of 6527, 2964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6527, 2964 using Euclid's Algorithm?
Answer: For arbitrary numbers 6527, 2964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.