Highest Common Factor of 260, 924, 366 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, 924, 366 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 260, 924, 366 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, 924, 366 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, 924, 366 is 2.
HCF(260, 924, 366) = 2
HCF of 260, 924, 366 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, 924, 366 is 2.
Highest Common Factor of 260,924,366 is 2
Step 1: Since 924 > 260, we apply the division lemma to 924 and 260, to get
924 = 260 x 3 + 144
Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 144 and 260, to get
260 = 144 x 1 + 116
Step 3: We consider the new divisor 144 and the new remainder 116, and apply the division lemma to get
144 = 116 x 1 + 28
We consider the new divisor 116 and the new remainder 28,and apply the division lemma to get
116 = 28 x 4 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 260 and 924 is 4
Notice that 4 = HCF(28,4) = HCF(116,28) = HCF(144,116) = HCF(260,144) = HCF(924,260) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 366 > 4, we apply the division lemma to 366 and 4, to get
366 = 4 x 91 + 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 366 is 2
Notice that 2 = HCF(4,2) = HCF(366,4) .
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Frequently Asked Questions on HCF of 260, 924, 366 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, 924, 366?
Answer: HCF of 260, 924, 366 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 260, 924, 366 using Euclid's Algorithm?
Answer: For arbitrary numbers 260, 924, 366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.