Highest Common Factor of 5050, 5579 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 5050, 5579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5050, 5579 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 5050, 5579 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 5050, 5579 is 1.
HCF(5050, 5579) = 1
HCF of 5050, 5579 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5050, 5579 is 1.
Highest Common Factor of 5050,5579 is 1
Step 1: Since 5579 > 5050, we apply the division lemma to 5579 and 5050, to get
5579 = 5050 x 1 + 529
Step 2: Since the reminder 5050 ≠ 0, we apply division lemma to 529 and 5050, to get
5050 = 529 x 9 + 289
Step 3: We consider the new divisor 529 and the new remainder 289, and apply the division lemma to get
529 = 289 x 1 + 240
We consider the new divisor 289 and the new remainder 240,and apply the division lemma to get
289 = 240 x 1 + 49
We consider the new divisor 240 and the new remainder 49,and apply the division lemma to get
240 = 49 x 4 + 44
We consider the new divisor 49 and the new remainder 44,and apply the division lemma to get
49 = 44 x 1 + 5
We consider the new divisor 44 and the new remainder 5,and apply the division lemma to get
44 = 5 x 8 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 5050 and 5579 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(44,5) = HCF(49,44) = HCF(240,49) = HCF(289,240) = HCF(529,289) = HCF(5050,529) = HCF(5579,5050) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5050, 5579 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 5050, 5579?
Answer: HCF of 5050, 5579 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5050, 5579 using Euclid's Algorithm?
Answer: For arbitrary numbers 5050, 5579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.