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 1857, 7160 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1857, 7160 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 1857, 7160 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 1857, 7160 is 1.
HCF(1857, 7160) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1857, 7160 is 1.
Step 1: Since 7160 > 1857, we apply the division lemma to 7160 and 1857, to get
7160 = 1857 x 3 + 1589
Step 2: Since the reminder 1857 ≠ 0, we apply division lemma to 1589 and 1857, to get
1857 = 1589 x 1 + 268
Step 3: We consider the new divisor 1589 and the new remainder 268, and apply the division lemma to get
1589 = 268 x 5 + 249
We consider the new divisor 268 and the new remainder 249,and apply the division lemma to get
268 = 249 x 1 + 19
We consider the new divisor 249 and the new remainder 19,and apply the division lemma to get
249 = 19 x 13 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1857 and 7160 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(249,19) = HCF(268,249) = HCF(1589,268) = HCF(1857,1589) = HCF(7160,1857) .
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 1857, 7160?
Answer: HCF of 1857, 7160 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1857, 7160 using Euclid's Algorithm?
Answer: For arbitrary numbers 1857, 7160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.