Highest Common Factor of 366, 5354 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 366, 5354 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 5354 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 366, 5354 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 366, 5354 is 2.
HCF(366, 5354) = 2
HCF of 366, 5354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 366, 5354 is 2.
Highest Common Factor of 366,5354 is 2
Step 1: Since 5354 > 366, we apply the division lemma to 5354 and 366, to get
5354 = 366 x 14 + 230
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 230 and 366, to get
366 = 230 x 1 + 136
Step 3: We consider the new divisor 230 and the new remainder 136, and apply the division lemma to get
230 = 136 x 1 + 94
We consider the new divisor 136 and the new remainder 94,and apply the division lemma to get
136 = 94 x 1 + 42
We consider the new divisor 94 and the new remainder 42,and apply the division lemma to get
94 = 42 x 2 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 366 and 5354 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(94,42) = HCF(136,94) = HCF(230,136) = HCF(366,230) = HCF(5354,366) .
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Frequently Asked Questions on HCF of 366, 5354 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 366, 5354?
Answer: HCF of 366, 5354 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 5354 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 5354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.