Highest Common Factor of 1856, 1286 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 1856, 1286 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1856, 1286 is 2 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 1856, 1286 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 1856, 1286 is 2.
HCF(1856, 1286) = 2
HCF of 1856, 1286 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1856, 1286 is 2.
Highest Common Factor of 1856,1286 is 2
Step 1: Since 1856 > 1286, we apply the division lemma to 1856 and 1286, to get
1856 = 1286 x 1 + 570
Step 2: Since the reminder 1286 ≠ 0, we apply division lemma to 570 and 1286, to get
1286 = 570 x 2 + 146
Step 3: We consider the new divisor 570 and the new remainder 146, and apply the division lemma to get
570 = 146 x 3 + 132
We consider the new divisor 146 and the new remainder 132,and apply the division lemma to get
146 = 132 x 1 + 14
We consider the new divisor 132 and the new remainder 14,and apply the division lemma to get
132 = 14 x 9 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1856 and 1286 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(132,14) = HCF(146,132) = HCF(570,146) = HCF(1286,570) = HCF(1856,1286) .
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Frequently Asked Questions on HCF of 1856, 1286 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 1856, 1286?
Answer: HCF of 1856, 1286 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1856, 1286 using Euclid's Algorithm?
Answer: For arbitrary numbers 1856, 1286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.