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 2515, 6856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2515, 6856 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 2515, 6856 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 2515, 6856 is 1.
HCF(2515, 6856) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2515, 6856 is 1.
Step 1: Since 6856 > 2515, we apply the division lemma to 6856 and 2515, to get
6856 = 2515 x 2 + 1826
Step 2: Since the reminder 2515 ≠ 0, we apply division lemma to 1826 and 2515, to get
2515 = 1826 x 1 + 689
Step 3: We consider the new divisor 1826 and the new remainder 689, and apply the division lemma to get
1826 = 689 x 2 + 448
We consider the new divisor 689 and the new remainder 448,and apply the division lemma to get
689 = 448 x 1 + 241
We consider the new divisor 448 and the new remainder 241,and apply the division lemma to get
448 = 241 x 1 + 207
We consider the new divisor 241 and the new remainder 207,and apply the division lemma to get
241 = 207 x 1 + 34
We consider the new divisor 207 and the new remainder 34,and apply the division lemma to get
207 = 34 x 6 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2515 and 6856 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(207,34) = HCF(241,207) = HCF(448,241) = HCF(689,448) = HCF(1826,689) = HCF(2515,1826) = HCF(6856,2515) .
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 2515, 6856?
Answer: HCF of 2515, 6856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2515, 6856 using Euclid's Algorithm?
Answer: For arbitrary numbers 2515, 6856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.