Highest Common Factor of 781, 448, 157, 12 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 781, 448, 157, 12 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 448, 157, 12 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 781, 448, 157, 12 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 781, 448, 157, 12 is 1.
HCF(781, 448, 157, 12) = 1
HCF of 781, 448, 157, 12 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 448, 157, 12 is 1.
Highest Common Factor of 781,448,157,12 is 1
Step 1: Since 781 > 448, we apply the division lemma to 781 and 448, to get
781 = 448 x 1 + 333
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 333 and 448, to get
448 = 333 x 1 + 115
Step 3: We consider the new divisor 333 and the new remainder 115, and apply the division lemma to get
333 = 115 x 2 + 103
We consider the new divisor 115 and the new remainder 103,and apply the division lemma to get
115 = 103 x 1 + 12
We consider the new divisor 103 and the new remainder 12,and apply the division lemma to get
103 = 12 x 8 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 448 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(103,12) = HCF(115,103) = HCF(333,115) = HCF(448,333) = HCF(781,448) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12 > 1, we apply the division lemma to 12 and 1, to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12 is 1
Notice that 1 = HCF(12,1) .
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Frequently Asked Questions on HCF of 781, 448, 157, 12 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 781, 448, 157, 12?
Answer: HCF of 781, 448, 157, 12 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 448, 157, 12 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 448, 157, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.