Highest Common Factor of 520, 2870 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 520, 2870 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 2870 is 10 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 520, 2870 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 520, 2870 is 10.
HCF(520, 2870) = 10
HCF of 520, 2870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 2870 is 10.
Highest Common Factor of 520,2870 is 10
Step 1: Since 2870 > 520, we apply the division lemma to 2870 and 520, to get
2870 = 520 x 5 + 270
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 270 and 520, to get
520 = 270 x 1 + 250
Step 3: We consider the new divisor 270 and the new remainder 250, and apply the division lemma to get
270 = 250 x 1 + 20
We consider the new divisor 250 and the new remainder 20,and apply the division lemma to get
250 = 20 x 12 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 520 and 2870 is 10
Notice that 10 = HCF(20,10) = HCF(250,20) = HCF(270,250) = HCF(520,270) = HCF(2870,520) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 520, 2870 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 520, 2870?
Answer: HCF of 520, 2870 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 2870 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 2870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.