Highest Common Factor of 3260, 7468, 25618 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 3260, 7468, 25618 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3260, 7468, 25618 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 3260, 7468, 25618 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 3260, 7468, 25618 is 2.
HCF(3260, 7468, 25618) = 2
HCF of 3260, 7468, 25618 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3260, 7468, 25618 is 2.
Highest Common Factor of 3260,7468,25618 is 2
Step 1: Since 7468 > 3260, we apply the division lemma to 7468 and 3260, to get
7468 = 3260 x 2 + 948
Step 2: Since the reminder 3260 ≠ 0, we apply division lemma to 948 and 3260, to get
3260 = 948 x 3 + 416
Step 3: We consider the new divisor 948 and the new remainder 416, and apply the division lemma to get
948 = 416 x 2 + 116
We consider the new divisor 416 and the new remainder 116,and apply the division lemma to get
416 = 116 x 3 + 68
We consider the new divisor 116 and the new remainder 68,and apply the division lemma to get
116 = 68 x 1 + 48
We consider the new divisor 68 and the new remainder 48,and apply the division lemma to get
68 = 48 x 1 + 20
We consider the new divisor 48 and the new remainder 20,and apply the division lemma to get
48 = 20 x 2 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3260 and 7468 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(48,20) = HCF(68,48) = HCF(116,68) = HCF(416,116) = HCF(948,416) = HCF(3260,948) = HCF(7468,3260) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25618 > 4, we apply the division lemma to 25618 and 4, to get
25618 = 4 x 6404 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 25618 is 2
Notice that 2 = HCF(4,2) = HCF(25618,4) .
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Frequently Asked Questions on HCF of 3260, 7468, 25618 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 3260, 7468, 25618?
Answer: HCF of 3260, 7468, 25618 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3260, 7468, 25618 using Euclid's Algorithm?
Answer: For arbitrary numbers 3260, 7468, 25618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.