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 879, 16324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 16324 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 879, 16324 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 879, 16324 is 1.
HCF(879, 16324) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 879, 16324 is 1.
Step 1: Since 16324 > 879, we apply the division lemma to 16324 and 879, to get
16324 = 879 x 18 + 502
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 502 and 879, to get
879 = 502 x 1 + 377
Step 3: We consider the new divisor 502 and the new remainder 377, and apply the division lemma to get
502 = 377 x 1 + 125
We consider the new divisor 377 and the new remainder 125,and apply the division lemma to get
377 = 125 x 3 + 2
We consider the new divisor 125 and the new remainder 2,and apply the division lemma to get
125 = 2 x 62 + 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 879 and 16324 is 1
Notice that 1 = HCF(2,1) = HCF(125,2) = HCF(377,125) = HCF(502,377) = HCF(879,502) = HCF(16324,879) .
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 879, 16324?
Answer: HCF of 879, 16324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 16324 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 16324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.