Highest Common Factor of 2108, 7389 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 2108, 7389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2108, 7389 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 2108, 7389 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 2108, 7389 is 1.
HCF(2108, 7389) = 1
HCF of 2108, 7389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2108, 7389 is 1.
Highest Common Factor of 2108,7389 is 1
Step 1: Since 7389 > 2108, we apply the division lemma to 7389 and 2108, to get
7389 = 2108 x 3 + 1065
Step 2: Since the reminder 2108 ≠ 0, we apply division lemma to 1065 and 2108, to get
2108 = 1065 x 1 + 1043
Step 3: We consider the new divisor 1065 and the new remainder 1043, and apply the division lemma to get
1065 = 1043 x 1 + 22
We consider the new divisor 1043 and the new remainder 22,and apply the division lemma to get
1043 = 22 x 47 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 2108 and 7389 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(1043,22) = HCF(1065,1043) = HCF(2108,1065) = HCF(7389,2108) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2108, 7389 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 2108, 7389?
Answer: HCF of 2108, 7389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2108, 7389 using Euclid's Algorithm?
Answer: For arbitrary numbers 2108, 7389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.