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 5926, 2390 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5926, 2390 is 2 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 5926, 2390 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 5926, 2390 is 2.
HCF(5926, 2390) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5926, 2390 is 2.
Step 1: Since 5926 > 2390, we apply the division lemma to 5926 and 2390, to get
5926 = 2390 x 2 + 1146
Step 2: Since the reminder 2390 ≠ 0, we apply division lemma to 1146 and 2390, to get
2390 = 1146 x 2 + 98
Step 3: We consider the new divisor 1146 and the new remainder 98, and apply the division lemma to get
1146 = 98 x 11 + 68
We consider the new divisor 98 and the new remainder 68,and apply the division lemma to get
98 = 68 x 1 + 30
We consider the new divisor 68 and the new remainder 30,and apply the division lemma to get
68 = 30 x 2 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5926 and 2390 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(68,30) = HCF(98,68) = HCF(1146,98) = HCF(2390,1146) = HCF(5926,2390) .
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 5926, 2390?
Answer: HCF of 5926, 2390 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5926, 2390 using Euclid's Algorithm?
Answer: For arbitrary numbers 5926, 2390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.