Highest Common Factor of 828, 279, 96, 881 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 828, 279, 96, 881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 828, 279, 96, 881 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 828, 279, 96, 881 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 828, 279, 96, 881 is 1.
HCF(828, 279, 96, 881) = 1
HCF of 828, 279, 96, 881 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 828, 279, 96, 881 is 1.
Highest Common Factor of 828,279,96,881 is 1
Step 1: Since 828 > 279, we apply the division lemma to 828 and 279, to get
828 = 279 x 2 + 270
Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 270 and 279, to get
279 = 270 x 1 + 9
Step 3: We consider the new divisor 270 and the new remainder 9, and apply the division lemma to get
270 = 9 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 828 and 279 is 9
Notice that 9 = HCF(270,9) = HCF(279,270) = HCF(828,279) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96 > 9, we apply the division lemma to 96 and 9, to get
96 = 9 x 10 + 6
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 6 and 9, to get
9 = 6 x 1 + 3
Step 3: We consider the new divisor 6 and the new remainder 3, and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9 and 96 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(96,9) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 881 > 3, we apply the division lemma to 881 and 3, to get
881 = 3 x 293 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 881 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(881,3) .
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Frequently Asked Questions on HCF of 828, 279, 96, 881 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 828, 279, 96, 881?
Answer: HCF of 828, 279, 96, 881 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 828, 279, 96, 881 using Euclid's Algorithm?
Answer: For arbitrary numbers 828, 279, 96, 881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.