Highest Common Factor of 460, 176, 248, 96 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 460, 176, 248, 96 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 460, 176, 248, 96 is 4 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 460, 176, 248, 96 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 460, 176, 248, 96 is 4.
HCF(460, 176, 248, 96) = 4
HCF of 460, 176, 248, 96 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 460, 176, 248, 96 is 4.
Highest Common Factor of 460,176,248,96 is 4
Step 1: Since 460 > 176, we apply the division lemma to 460 and 176, to get
460 = 176 x 2 + 108
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 108 and 176, to get
176 = 108 x 1 + 68
Step 3: We consider the new divisor 108 and the new remainder 68, and apply the division lemma to get
108 = 68 x 1 + 40
We consider the new divisor 68 and the new remainder 40,and apply the division lemma to get
68 = 40 x 1 + 28
We consider the new divisor 40 and the new remainder 28,and apply the division lemma to get
40 = 28 x 1 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 460 and 176 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(40,28) = HCF(68,40) = HCF(108,68) = HCF(176,108) = HCF(460,176) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 248 > 4, we apply the division lemma to 248 and 4, to get
248 = 4 x 62 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 248 is 4
Notice that 4 = HCF(248,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96 > 4, we apply the division lemma to 96 and 4, to get
96 = 4 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 96 is 4
Notice that 4 = HCF(96,4) .
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Frequently Asked Questions on HCF of 460, 176, 248, 96 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 460, 176, 248, 96?
Answer: HCF of 460, 176, 248, 96 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 460, 176, 248, 96 using Euclid's Algorithm?
Answer: For arbitrary numbers 460, 176, 248, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.