Highest Common Factor of 683, 313, 748, 45 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 683, 313, 748, 45 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 683, 313, 748, 45 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 683, 313, 748, 45 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 683, 313, 748, 45 is 1.
HCF(683, 313, 748, 45) = 1
HCF of 683, 313, 748, 45 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 683, 313, 748, 45 is 1.
Highest Common Factor of 683,313,748,45 is 1
Step 1: Since 683 > 313, we apply the division lemma to 683 and 313, to get
683 = 313 x 2 + 57
Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 57 and 313, to get
313 = 57 x 5 + 28
Step 3: We consider the new divisor 57 and the new remainder 28, and apply the division lemma to get
57 = 28 x 2 + 1
We consider the new divisor 28 and the new remainder 1, and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 313 is 1
Notice that 1 = HCF(28,1) = HCF(57,28) = HCF(313,57) = HCF(683,313) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 748 > 1, we apply the division lemma to 748 and 1, to get
748 = 1 x 748 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 748 is 1
Notice that 1 = HCF(748,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45 > 1, we apply the division lemma to 45 and 1, to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45 is 1
Notice that 1 = HCF(45,1) .
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Frequently Asked Questions on HCF of 683, 313, 748, 45 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 683, 313, 748, 45?
Answer: HCF of 683, 313, 748, 45 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 683, 313, 748, 45 using Euclid's Algorithm?
Answer: For arbitrary numbers 683, 313, 748, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.