Highest Common Factor of 276, 920, 414 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 276, 920, 414 i.e. 46 the largest integer that leaves a remainder zero for all numbers.
HCF of 276, 920, 414 is 46 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 276, 920, 414 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 276, 920, 414 is 46.
HCF(276, 920, 414) = 46
HCF of 276, 920, 414 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 276, 920, 414 is 46.
Highest Common Factor of 276,920,414 is 46
Step 1: Since 920 > 276, we apply the division lemma to 920 and 276, to get
920 = 276 x 3 + 92
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 92 and 276, to get
276 = 92 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 92, the HCF of 276 and 920 is 92
Notice that 92 = HCF(276,92) = HCF(920,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 414 > 92, we apply the division lemma to 414 and 92, to get
414 = 92 x 4 + 46
Step 2: Since the reminder 92 ≠ 0, we apply division lemma to 46 and 92, to get
92 = 46 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 92 and 414 is 46
Notice that 46 = HCF(92,46) = HCF(414,92) .
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Frequently Asked Questions on HCF of 276, 920, 414 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 276, 920, 414?
Answer: HCF of 276, 920, 414 is 46 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 276, 920, 414 using Euclid's Algorithm?
Answer: For arbitrary numbers 276, 920, 414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.