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 2535, 9716 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2535, 9716 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 2535, 9716 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 2535, 9716 is 1.
HCF(2535, 9716) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2535, 9716 is 1.
Step 1: Since 9716 > 2535, we apply the division lemma to 9716 and 2535, to get
9716 = 2535 x 3 + 2111
Step 2: Since the reminder 2535 ≠ 0, we apply division lemma to 2111 and 2535, to get
2535 = 2111 x 1 + 424
Step 3: We consider the new divisor 2111 and the new remainder 424, and apply the division lemma to get
2111 = 424 x 4 + 415
We consider the new divisor 424 and the new remainder 415,and apply the division lemma to get
424 = 415 x 1 + 9
We consider the new divisor 415 and the new remainder 9,and apply the division lemma to get
415 = 9 x 46 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2535 and 9716 is 1
Notice that 1 = HCF(9,1) = HCF(415,9) = HCF(424,415) = HCF(2111,424) = HCF(2535,2111) = HCF(9716,2535) .
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 2535, 9716?
Answer: HCF of 2535, 9716 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2535, 9716 using Euclid's Algorithm?
Answer: For arbitrary numbers 2535, 9716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.