Highest Common Factor of 448, 776, 441 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 448, 776, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 448, 776, 441 is 1 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 448, 776, 441 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 448, 776, 441 is 1.
HCF(448, 776, 441) = 1
HCF of 448, 776, 441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 448, 776, 441 is 1.
Highest Common Factor of 448,776,441 is 1
Step 1: Since 776 > 448, we apply the division lemma to 776 and 448, to get
776 = 448 x 1 + 328
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 328 and 448, to get
448 = 328 x 1 + 120
Step 3: We consider the new divisor 328 and the new remainder 120, and apply the division lemma to get
328 = 120 x 2 + 88
We consider the new divisor 120 and the new remainder 88,and apply the division lemma to get
120 = 88 x 1 + 32
We consider the new divisor 88 and the new remainder 32,and apply the division lemma to get
88 = 32 x 2 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 448 and 776 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(88,32) = HCF(120,88) = HCF(328,120) = HCF(448,328) = HCF(776,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 8, we apply the division lemma to 441 and 8, to get
441 = 8 x 55 + 1
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 1 and 8, to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 441 is 1
Notice that 1 = HCF(8,1) = HCF(441,8) .
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Frequently Asked Questions on HCF of 448, 776, 441 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 448, 776, 441?
Answer: HCF of 448, 776, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 448, 776, 441 using Euclid's Algorithm?
Answer: For arbitrary numbers 448, 776, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.