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 2694, 5225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2694, 5225 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 2694, 5225 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 2694, 5225 is 1.
HCF(2694, 5225) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2694, 5225 is 1.
Step 1: Since 5225 > 2694, we apply the division lemma to 5225 and 2694, to get
5225 = 2694 x 1 + 2531
Step 2: Since the reminder 2694 ≠ 0, we apply division lemma to 2531 and 2694, to get
2694 = 2531 x 1 + 163
Step 3: We consider the new divisor 2531 and the new remainder 163, and apply the division lemma to get
2531 = 163 x 15 + 86
We consider the new divisor 163 and the new remainder 86,and apply the division lemma to get
163 = 86 x 1 + 77
We consider the new divisor 86 and the new remainder 77,and apply the division lemma to get
86 = 77 x 1 + 9
We consider the new divisor 77 and the new remainder 9,and apply the division lemma to get
77 = 9 x 8 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 2694 and 5225 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(77,9) = HCF(86,77) = HCF(163,86) = HCF(2531,163) = HCF(2694,2531) = HCF(5225,2694) .
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 2694, 5225?
Answer: HCF of 2694, 5225 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2694, 5225 using Euclid's Algorithm?
Answer: For arbitrary numbers 2694, 5225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.