Highest Common Factor of 5110, 3025 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 5110, 3025 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5110, 3025 is 5 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 5110, 3025 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 5110, 3025 is 5.
HCF(5110, 3025) = 5
HCF of 5110, 3025 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5110, 3025 is 5.
Highest Common Factor of 5110,3025 is 5
Step 1: Since 5110 > 3025, we apply the division lemma to 5110 and 3025, to get
5110 = 3025 x 1 + 2085
Step 2: Since the reminder 3025 ≠ 0, we apply division lemma to 2085 and 3025, to get
3025 = 2085 x 1 + 940
Step 3: We consider the new divisor 2085 and the new remainder 940, and apply the division lemma to get
2085 = 940 x 2 + 205
We consider the new divisor 940 and the new remainder 205,and apply the division lemma to get
940 = 205 x 4 + 120
We consider the new divisor 205 and the new remainder 120,and apply the division lemma to get
205 = 120 x 1 + 85
We consider the new divisor 120 and the new remainder 85,and apply the division lemma to get
120 = 85 x 1 + 35
We consider the new divisor 85 and the new remainder 35,and apply the division lemma to get
85 = 35 x 2 + 15
We consider the new divisor 35 and the new remainder 15,and apply the division lemma to get
35 = 15 x 2 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5110 and 3025 is 5
Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(85,35) = HCF(120,85) = HCF(205,120) = HCF(940,205) = HCF(2085,940) = HCF(3025,2085) = HCF(5110,3025) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5110, 3025 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 5110, 3025?
Answer: HCF of 5110, 3025 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5110, 3025 using Euclid's Algorithm?
Answer: For arbitrary numbers 5110, 3025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.