Highest Common Factor of 314, 447, 80 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 314, 447, 80 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 314, 447, 80 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 314, 447, 80 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 314, 447, 80 is 1.
HCF(314, 447, 80) = 1
HCF of 314, 447, 80 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 314, 447, 80 is 1.
Highest Common Factor of 314,447,80 is 1
Step 1: Since 447 > 314, we apply the division lemma to 447 and 314, to get
447 = 314 x 1 + 133
Step 2: Since the reminder 314 ≠ 0, we apply division lemma to 133 and 314, to get
314 = 133 x 2 + 48
Step 3: We consider the new divisor 133 and the new remainder 48, and apply the division lemma to get
133 = 48 x 2 + 37
We consider the new divisor 48 and the new remainder 37,and apply the division lemma to get
48 = 37 x 1 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 314 and 447 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(48,37) = HCF(133,48) = HCF(314,133) = HCF(447,314) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 1, we apply the division lemma to 80 and 1, to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1
Notice that 1 = HCF(80,1) .
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Frequently Asked Questions on HCF of 314, 447, 80 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 314, 447, 80?
Answer: HCF of 314, 447, 80 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 314, 447, 80 using Euclid's Algorithm?
Answer: For arbitrary numbers 314, 447, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.