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 1797, 1580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1797, 1580 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 1797, 1580 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 1797, 1580 is 1.
HCF(1797, 1580) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1797, 1580 is 1.
Step 1: Since 1797 > 1580, we apply the division lemma to 1797 and 1580, to get
1797 = 1580 x 1 + 217
Step 2: Since the reminder 1580 ≠ 0, we apply division lemma to 217 and 1580, to get
1580 = 217 x 7 + 61
Step 3: We consider the new divisor 217 and the new remainder 61, and apply the division lemma to get
217 = 61 x 3 + 34
We consider the new divisor 61 and the new remainder 34,and apply the division lemma to get
61 = 34 x 1 + 27
We consider the new divisor 34 and the new remainder 27,and apply the division lemma to get
34 = 27 x 1 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1797 and 1580 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(34,27) = HCF(61,34) = HCF(217,61) = HCF(1580,217) = HCF(1797,1580) .
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 1797, 1580?
Answer: HCF of 1797, 1580 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1797, 1580 using Euclid's Algorithm?
Answer: For arbitrary numbers 1797, 1580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.