Highest Common Factor of 260, 820, 618, 48 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 260, 820, 618, 48 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 260, 820, 618, 48 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 260, 820, 618, 48 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 260, 820, 618, 48 is 2.
HCF(260, 820, 618, 48) = 2
HCF of 260, 820, 618, 48 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 260, 820, 618, 48 is 2.
Highest Common Factor of 260,820,618,48 is 2
Step 1: Since 820 > 260, we apply the division lemma to 820 and 260, to get
820 = 260 x 3 + 40
Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 40 and 260, to get
260 = 40 x 6 + 20
Step 3: We consider the new divisor 40 and the new remainder 20, and apply the division lemma to get
40 = 20 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 260 and 820 is 20
Notice that 20 = HCF(40,20) = HCF(260,40) = HCF(820,260) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 618 > 20, we apply the division lemma to 618 and 20, to get
618 = 20 x 30 + 18
Step 2: Since the reminder 20 ≠ 0, we apply division lemma to 18 and 20, to get
20 = 18 x 1 + 2
Step 3: We consider the new divisor 18 and the new remainder 2, and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 20 and 618 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(618,20) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48 > 2, we apply the division lemma to 48 and 2, to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 48 is 2
Notice that 2 = HCF(48,2) .
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Frequently Asked Questions on HCF of 260, 820, 618, 48 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 260, 820, 618, 48?
Answer: HCF of 260, 820, 618, 48 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 260, 820, 618, 48 using Euclid's Algorithm?
Answer: For arbitrary numbers 260, 820, 618, 48 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
