Highest Common Factor of 454, 276 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 454, 276 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 454, 276 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 454, 276 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 454, 276 is 2.
HCF(454, 276) = 2
HCF of 454, 276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 454, 276 is 2.
Highest Common Factor of 454,276 is 2
Step 1: Since 454 > 276, we apply the division lemma to 454 and 276, to get
454 = 276 x 1 + 178
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 178 and 276, to get
276 = 178 x 1 + 98
Step 3: We consider the new divisor 178 and the new remainder 98, and apply the division lemma to get
178 = 98 x 1 + 80
We consider the new divisor 98 and the new remainder 80,and apply the division lemma to get
98 = 80 x 1 + 18
We consider the new divisor 80 and the new remainder 18,and apply the division lemma to get
80 = 18 x 4 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 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 454 and 276 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(80,18) = HCF(98,80) = HCF(178,98) = HCF(276,178) = HCF(454,276) .
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Frequently Asked Questions on HCF of 454, 276 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 454, 276?
Answer: HCF of 454, 276 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 454, 276 using Euclid's Algorithm?
Answer: For arbitrary numbers 454, 276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.