Highest Common Factor of 442, 910, 232, 28 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 442, 910, 232, 28 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 442, 910, 232, 28 is 2 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 442, 910, 232, 28 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 442, 910, 232, 28 is 2.
HCF(442, 910, 232, 28) = 2
HCF of 442, 910, 232, 28 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 442, 910, 232, 28 is 2.
Highest Common Factor of 442,910,232,28 is 2
Step 1: Since 910 > 442, we apply the division lemma to 910 and 442, to get
910 = 442 x 2 + 26
Step 2: Since the reminder 442 ≠ 0, we apply division lemma to 26 and 442, to get
442 = 26 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 442 and 910 is 26
Notice that 26 = HCF(442,26) = HCF(910,442) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 232 > 26, we apply the division lemma to 232 and 26, to get
232 = 26 x 8 + 24
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 24 and 26, to get
26 = 24 x 1 + 2
Step 3: We consider the new divisor 24 and the new remainder 2, and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 26 and 232 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(232,26) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 2, we apply the division lemma to 28 and 2, to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 28 is 2
Notice that 2 = HCF(28,2) .
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Frequently Asked Questions on HCF of 442, 910, 232, 28 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 442, 910, 232, 28?
Answer: HCF of 442, 910, 232, 28 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 442, 910, 232, 28 using Euclid's Algorithm?
Answer: For arbitrary numbers 442, 910, 232, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.