Highest Common Factor of 2560, 6228, 91112 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 2560, 6228, 91112 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2560, 6228, 91112 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 2560, 6228, 91112 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 2560, 6228, 91112 is 4.
HCF(2560, 6228, 91112) = 4
HCF of 2560, 6228, 91112 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2560, 6228, 91112 is 4.
Highest Common Factor of 2560,6228,91112 is 4
Step 1: Since 6228 > 2560, we apply the division lemma to 6228 and 2560, to get
6228 = 2560 x 2 + 1108
Step 2: Since the reminder 2560 ≠ 0, we apply division lemma to 1108 and 2560, to get
2560 = 1108 x 2 + 344
Step 3: We consider the new divisor 1108 and the new remainder 344, and apply the division lemma to get
1108 = 344 x 3 + 76
We consider the new divisor 344 and the new remainder 76,and apply the division lemma to get
344 = 76 x 4 + 40
We consider the new divisor 76 and the new remainder 40,and apply the division lemma to get
76 = 40 x 1 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2560 and 6228 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(76,40) = HCF(344,76) = HCF(1108,344) = HCF(2560,1108) = HCF(6228,2560) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 91112 > 4, we apply the division lemma to 91112 and 4, to get
91112 = 4 x 22778 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 91112 is 4
Notice that 4 = HCF(91112,4) .
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Frequently Asked Questions on HCF of 2560, 6228, 91112 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 2560, 6228, 91112?
Answer: HCF of 2560, 6228, 91112 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2560, 6228, 91112 using Euclid's Algorithm?
Answer: For arbitrary numbers 2560, 6228, 91112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
