Highest Common Factor of 2889, 7247, 93239 using Euclid's algorithm
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 2889, 7247, 93239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2889, 7247, 93239 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 2889, 7247, 93239 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 2889, 7247, 93239 is 1.
HCF(2889, 7247, 93239) = 1
HCF of 2889, 7247, 93239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2889, 7247, 93239 is 1.
Highest Common Factor of 2889,7247,93239 is 1
Step 1: Since 7247 > 2889, we apply the division lemma to 7247 and 2889, to get
7247 = 2889 x 2 + 1469
Step 2: Since the reminder 2889 ≠ 0, we apply division lemma to 1469 and 2889, to get
2889 = 1469 x 1 + 1420
Step 3: We consider the new divisor 1469 and the new remainder 1420, and apply the division lemma to get
1469 = 1420 x 1 + 49
We consider the new divisor 1420 and the new remainder 49,and apply the division lemma to get
1420 = 49 x 28 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2889 and 7247 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(1420,49) = HCF(1469,1420) = HCF(2889,1469) = HCF(7247,2889) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93239 > 1, we apply the division lemma to 93239 and 1, to get
93239 = 1 x 93239 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93239 is 1
Notice that 1 = HCF(93239,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2889, 7247, 93239 using Euclid's Algorithm
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 2889, 7247, 93239?
Answer: HCF of 2889, 7247, 93239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2889, 7247, 93239 using Euclid's Algorithm?
Answer: For arbitrary numbers 2889, 7247, 93239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.