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 2027, 6856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2027, 6856 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 2027, 6856 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 2027, 6856 is 1.
HCF(2027, 6856) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2027, 6856 is 1.
Step 1: Since 6856 > 2027, we apply the division lemma to 6856 and 2027, to get
6856 = 2027 x 3 + 775
Step 2: Since the reminder 2027 ≠ 0, we apply division lemma to 775 and 2027, to get
2027 = 775 x 2 + 477
Step 3: We consider the new divisor 775 and the new remainder 477, and apply the division lemma to get
775 = 477 x 1 + 298
We consider the new divisor 477 and the new remainder 298,and apply the division lemma to get
477 = 298 x 1 + 179
We consider the new divisor 298 and the new remainder 179,and apply the division lemma to get
298 = 179 x 1 + 119
We consider the new divisor 179 and the new remainder 119,and apply the division lemma to get
179 = 119 x 1 + 60
We consider the new divisor 119 and the new remainder 60,and apply the division lemma to get
119 = 60 x 1 + 59
We consider the new divisor 60 and the new remainder 59,and apply the division lemma to get
60 = 59 x 1 + 1
We consider the new divisor 59 and the new remainder 1,and apply the division lemma to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2027 and 6856 is 1
Notice that 1 = HCF(59,1) = HCF(60,59) = HCF(119,60) = HCF(179,119) = HCF(298,179) = HCF(477,298) = HCF(775,477) = HCF(2027,775) = HCF(6856,2027) .
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 2027, 6856?
Answer: HCF of 2027, 6856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2027, 6856 using Euclid's Algorithm?
Answer: For arbitrary numbers 2027, 6856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.