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 5747, 2895, 28222 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5747, 2895, 28222 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 5747, 2895, 28222 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 5747, 2895, 28222 is 1.
HCF(5747, 2895, 28222) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5747, 2895, 28222 is 1.
Step 1: Since 5747 > 2895, we apply the division lemma to 5747 and 2895, to get
5747 = 2895 x 1 + 2852
Step 2: Since the reminder 2895 ≠ 0, we apply division lemma to 2852 and 2895, to get
2895 = 2852 x 1 + 43
Step 3: We consider the new divisor 2852 and the new remainder 43, and apply the division lemma to get
2852 = 43 x 66 + 14
We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get
43 = 14 x 3 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5747 and 2895 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(2852,43) = HCF(2895,2852) = HCF(5747,2895) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28222 > 1, we apply the division lemma to 28222 and 1, to get
28222 = 1 x 28222 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28222 is 1
Notice that 1 = HCF(28222,1) .
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 5747, 2895, 28222?
Answer: HCF of 5747, 2895, 28222 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5747, 2895, 28222 using Euclid's Algorithm?
Answer: For arbitrary numbers 5747, 2895, 28222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.