Highest Common Factor of 1854, 1062 using Euclid's algorithm
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 1854, 1062 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 1854, 1062 is 18 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 1854, 1062 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 1854, 1062 is 18.
HCF(1854, 1062) = 18
HCF of 1854, 1062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1854, 1062 is 18.
Highest Common Factor of 1854,1062 is 18
Step 1: Since 1854 > 1062, we apply the division lemma to 1854 and 1062, to get
1854 = 1062 x 1 + 792
Step 2: Since the reminder 1062 ≠ 0, we apply division lemma to 792 and 1062, to get
1062 = 792 x 1 + 270
Step 3: We consider the new divisor 792 and the new remainder 270, and apply the division lemma to get
792 = 270 x 2 + 252
We consider the new divisor 270 and the new remainder 252,and apply the division lemma to get
270 = 252 x 1 + 18
We consider the new divisor 252 and the new remainder 18,and apply the division lemma to get
252 = 18 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 1854 and 1062 is 18
Notice that 18 = HCF(252,18) = HCF(270,252) = HCF(792,270) = HCF(1062,792) = HCF(1854,1062) .
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Frequently Asked Questions on HCF of 1854, 1062 using Euclid's Algorithm
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 1854, 1062?
Answer: HCF of 1854, 1062 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1854, 1062 using Euclid's Algorithm?
Answer: For arbitrary numbers 1854, 1062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.