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 895, 314, 413, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 895, 314, 413, 203 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 895, 314, 413, 203 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 895, 314, 413, 203 is 1.
HCF(895, 314, 413, 203) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 895, 314, 413, 203 is 1.
Step 1: Since 895 > 314, we apply the division lemma to 895 and 314, to get
895 = 314 x 2 + 267
Step 2: Since the reminder 314 ≠ 0, we apply division lemma to 267 and 314, to get
314 = 267 x 1 + 47
Step 3: We consider the new divisor 267 and the new remainder 47, and apply the division lemma to get
267 = 47 x 5 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 895 and 314 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(267,47) = HCF(314,267) = HCF(895,314) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 413 > 1, we apply the division lemma to 413 and 1, to get
413 = 1 x 413 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 413 is 1
Notice that 1 = HCF(413,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get
203 = 1 x 203 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1
Notice that 1 = HCF(203,1) .
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 895, 314, 413, 203?
Answer: HCF of 895, 314, 413, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 895, 314, 413, 203 using Euclid's Algorithm?
Answer: For arbitrary numbers 895, 314, 413, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.