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 855, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 328 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 855, 328 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 855, 328 is 1.
HCF(855, 328) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 328 is 1.
Step 1: Since 855 > 328, we apply the division lemma to 855 and 328, to get
855 = 328 x 2 + 199
Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 199 and 328, to get
328 = 199 x 1 + 129
Step 3: We consider the new divisor 199 and the new remainder 129, and apply the division lemma to get
199 = 129 x 1 + 70
We consider the new divisor 129 and the new remainder 70,and apply the division lemma to get
129 = 70 x 1 + 59
We consider the new divisor 70 and the new remainder 59,and apply the division lemma to get
70 = 59 x 1 + 11
We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get
59 = 11 x 5 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 328 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(70,59) = HCF(129,70) = HCF(199,129) = HCF(328,199) = HCF(855,328) .
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 855, 328?
Answer: HCF of 855, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 328 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.