Highest Common Factor of 5916, 2297 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 5916, 2297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5916, 2297 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 5916, 2297 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 5916, 2297 is 1.
HCF(5916, 2297) = 1
HCF of 5916, 2297 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5916, 2297 is 1.
Highest Common Factor of 5916,2297 is 1
Step 1: Since 5916 > 2297, we apply the division lemma to 5916 and 2297, to get
5916 = 2297 x 2 + 1322
Step 2: Since the reminder 2297 ≠ 0, we apply division lemma to 1322 and 2297, to get
2297 = 1322 x 1 + 975
Step 3: We consider the new divisor 1322 and the new remainder 975, and apply the division lemma to get
1322 = 975 x 1 + 347
We consider the new divisor 975 and the new remainder 347,and apply the division lemma to get
975 = 347 x 2 + 281
We consider the new divisor 347 and the new remainder 281,and apply the division lemma to get
347 = 281 x 1 + 66
We consider the new divisor 281 and the new remainder 66,and apply the division lemma to get
281 = 66 x 4 + 17
We consider the new divisor 66 and the new remainder 17,and apply the division lemma to get
66 = 17 x 3 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5916 and 2297 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(66,17) = HCF(281,66) = HCF(347,281) = HCF(975,347) = HCF(1322,975) = HCF(2297,1322) = HCF(5916,2297) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5916, 2297 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 5916, 2297?
Answer: HCF of 5916, 2297 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5916, 2297 using Euclid's Algorithm?
Answer: For arbitrary numbers 5916, 2297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
