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 876, 335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 335 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 876, 335 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 876, 335 is 1.
HCF(876, 335) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 876, 335 is 1.
Step 1: Since 876 > 335, we apply the division lemma to 876 and 335, to get
876 = 335 x 2 + 206
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 206 and 335, to get
335 = 206 x 1 + 129
Step 3: We consider the new divisor 206 and the new remainder 129, and apply the division lemma to get
206 = 129 x 1 + 77
We consider the new divisor 129 and the new remainder 77,and apply the division lemma to get
129 = 77 x 1 + 52
We consider the new divisor 77 and the new remainder 52,and apply the division lemma to get
77 = 52 x 1 + 25
We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get
52 = 25 x 2 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 876 and 335 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(129,77) = HCF(206,129) = HCF(335,206) = HCF(876,335) .
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 876, 335?
Answer: HCF of 876, 335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 335 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.