Highest Common Factor of 366, 940 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, 940 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 940 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, 940 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, 940 is 2.
HCF(366, 940) = 2
HCF of 366, 940 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, 940 is 2.
Highest Common Factor of 366,940 is 2
Step 1: Since 940 > 366, we apply the division lemma to 940 and 366, to get
940 = 366 x 2 + 208
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 208 and 366, to get
366 = 208 x 1 + 158
Step 3: We consider the new divisor 208 and the new remainder 158, and apply the division lemma to get
208 = 158 x 1 + 50
We consider the new divisor 158 and the new remainder 50,and apply the division lemma to get
158 = 50 x 3 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 366 and 940 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(158,50) = HCF(208,158) = HCF(366,208) = HCF(940,366) .
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Frequently Asked Questions on HCF of 366, 940 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, 940?
Answer: HCF of 366, 940 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 940 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.