Highest Common Factor of 266, 3914 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 266, 3914 i.e. 38 the largest integer that leaves a remainder zero for all numbers.
HCF of 266, 3914 is 38 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 266, 3914 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 266, 3914 is 38.
HCF(266, 3914) = 38
HCF of 266, 3914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 266, 3914 is 38.
Highest Common Factor of 266,3914 is 38
Step 1: Since 3914 > 266, we apply the division lemma to 3914 and 266, to get
3914 = 266 x 14 + 190
Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 190 and 266, to get
266 = 190 x 1 + 76
Step 3: We consider the new divisor 190 and the new remainder 76, and apply the division lemma to get
190 = 76 x 2 + 38
We consider the new divisor 76 and the new remainder 38, and apply the division lemma to get
76 = 38 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 266 and 3914 is 38
Notice that 38 = HCF(76,38) = HCF(190,76) = HCF(266,190) = HCF(3914,266) .
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Frequently Asked Questions on HCF of 266, 3914 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 266, 3914?
Answer: HCF of 266, 3914 is 38 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 266, 3914 using Euclid's Algorithm?
Answer: For arbitrary numbers 266, 3914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
