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 570, 371, 780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 570, 371, 780 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 570, 371, 780 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 570, 371, 780 is 1.
HCF(570, 371, 780) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 570, 371, 780 is 1.
Step 1: Since 570 > 371, we apply the division lemma to 570 and 371, to get
570 = 371 x 1 + 199
Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 199 and 371, to get
371 = 199 x 1 + 172
Step 3: We consider the new divisor 199 and the new remainder 172, and apply the division lemma to get
199 = 172 x 1 + 27
We consider the new divisor 172 and the new remainder 27,and apply the division lemma to get
172 = 27 x 6 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 570 and 371 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(172,27) = HCF(199,172) = HCF(371,199) = HCF(570,371) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 780 > 1, we apply the division lemma to 780 and 1, to get
780 = 1 x 780 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 780 is 1
Notice that 1 = HCF(780,1) .
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 570, 371, 780?
Answer: HCF of 570, 371, 780 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 570, 371, 780 using Euclid's Algorithm?
Answer: For arbitrary numbers 570, 371, 780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.