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 330, 560 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 330, 560 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 330, 560 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 330, 560 is 10.
HCF(330, 560) = 10
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 330, 560 is 10.
Step 1: Since 560 > 330, we apply the division lemma to 560 and 330, to get
560 = 330 x 1 + 230
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 230 and 330, to get
330 = 230 x 1 + 100
Step 3: We consider the new divisor 230 and the new remainder 100, and apply the division lemma to get
230 = 100 x 2 + 30
We consider the new divisor 100 and the new remainder 30,and apply the division lemma to get
100 = 30 x 3 + 10
We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 330 and 560 is 10
Notice that 10 = HCF(30,10) = HCF(100,30) = HCF(230,100) = HCF(330,230) = HCF(560,330) .
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 330, 560?
Answer: HCF of 330, 560 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 330, 560 using Euclid's Algorithm?
Answer: For arbitrary numbers 330, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.