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 1570, 8115 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1570, 8115 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 1570, 8115 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 1570, 8115 is 5.
HCF(1570, 8115) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1570, 8115 is 5.
Step 1: Since 8115 > 1570, we apply the division lemma to 8115 and 1570, to get
8115 = 1570 x 5 + 265
Step 2: Since the reminder 1570 ≠ 0, we apply division lemma to 265 and 1570, to get
1570 = 265 x 5 + 245
Step 3: We consider the new divisor 265 and the new remainder 245, and apply the division lemma to get
265 = 245 x 1 + 20
We consider the new divisor 245 and the new remainder 20,and apply the division lemma to get
245 = 20 x 12 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1570 and 8115 is 5
Notice that 5 = HCF(20,5) = HCF(245,20) = HCF(265,245) = HCF(1570,265) = HCF(8115,1570) .
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 1570, 8115?
Answer: HCF of 1570, 8115 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1570, 8115 using Euclid's Algorithm?
Answer: For arbitrary numbers 1570, 8115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.