Highest Common Factor of 248, 868, 171 using Euclid's algorithm
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 248, 868, 171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 248, 868, 171 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 248, 868, 171 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 248, 868, 171 is 1.
HCF(248, 868, 171) = 1
HCF of 248, 868, 171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 248, 868, 171 is 1.
Highest Common Factor of 248,868,171 is 1
Step 1: Since 868 > 248, we apply the division lemma to 868 and 248, to get
868 = 248 x 3 + 124
Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 124 and 248, to get
248 = 124 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 248 and 868 is 124
Notice that 124 = HCF(248,124) = HCF(868,248) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 124, we apply the division lemma to 171 and 124, to get
171 = 124 x 1 + 47
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 47 and 124, to get
124 = 47 x 2 + 30
Step 3: We consider the new divisor 47 and the new remainder 30, and apply the division lemma to get
47 = 30 x 1 + 17
We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get
30 = 17 x 1 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 124 and 171 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(47,30) = HCF(124,47) = HCF(171,124) .
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Frequently Asked Questions on HCF of 248, 868, 171 using Euclid's Algorithm
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 248, 868, 171?
Answer: HCF of 248, 868, 171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 248, 868, 171 using Euclid's Algorithm?
Answer: For arbitrary numbers 248, 868, 171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.