Highest Common Factor of 703, 395, 648 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 703, 395, 648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 395, 648 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 703, 395, 648 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 703, 395, 648 is 1.
HCF(703, 395, 648) = 1
HCF of 703, 395, 648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 395, 648 is 1.
Highest Common Factor of 703,395,648 is 1
Step 1: Since 703 > 395, we apply the division lemma to 703 and 395, to get
703 = 395 x 1 + 308
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 308 and 395, to get
395 = 308 x 1 + 87
Step 3: We consider the new divisor 308 and the new remainder 87, and apply the division lemma to get
308 = 87 x 3 + 47
We consider the new divisor 87 and the new remainder 47,and apply the division lemma to get
87 = 47 x 1 + 40
We consider the new divisor 47 and the new remainder 40,and apply the division lemma to get
47 = 40 x 1 + 7
We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get
40 = 7 x 5 + 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 703 and 395 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(47,40) = HCF(87,47) = HCF(308,87) = HCF(395,308) = HCF(703,395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 648 > 1, we apply the division lemma to 648 and 1, to get
648 = 1 x 648 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 648 is 1
Notice that 1 = HCF(648,1) .
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Frequently Asked Questions on HCF of 703, 395, 648 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 703, 395, 648?
Answer: HCF of 703, 395, 648 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 395, 648 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 395, 648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
