Highest Common Factor of 803, 448, 157 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 803, 448, 157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 448, 157 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 803, 448, 157 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 803, 448, 157 is 1.
HCF(803, 448, 157) = 1
HCF of 803, 448, 157 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 448, 157 is 1.
Highest Common Factor of 803,448,157 is 1
Step 1: Since 803 > 448, we apply the division lemma to 803 and 448, to get
803 = 448 x 1 + 355
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 355 and 448, to get
448 = 355 x 1 + 93
Step 3: We consider the new divisor 355 and the new remainder 93, and apply the division lemma to get
355 = 93 x 3 + 76
We consider the new divisor 93 and the new remainder 76,and apply the division lemma to get
93 = 76 x 1 + 17
We consider the new divisor 76 and the new remainder 17,and apply the division lemma to get
76 = 17 x 4 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma 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 803 and 448 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(76,17) = HCF(93,76) = HCF(355,93) = HCF(448,355) = HCF(803,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 157 > 1, we apply the division lemma to 157 and 1, to get
157 = 1 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 157 is 1
Notice that 1 = HCF(157,1) .
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Frequently Asked Questions on HCF of 803, 448, 157 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 803, 448, 157?
Answer: HCF of 803, 448, 157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 448, 157 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 448, 157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.