Highest Common Factor of 626, 757, 720, 57 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 626, 757, 720, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 757, 720, 57 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 626, 757, 720, 57 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 626, 757, 720, 57 is 1.
HCF(626, 757, 720, 57) = 1
HCF of 626, 757, 720, 57 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 757, 720, 57 is 1.
Highest Common Factor of 626,757,720,57 is 1
Step 1: Since 757 > 626, we apply the division lemma to 757 and 626, to get
757 = 626 x 1 + 131
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 131 and 626, to get
626 = 131 x 4 + 102
Step 3: We consider the new divisor 131 and the new remainder 102, and apply the division lemma to get
131 = 102 x 1 + 29
We consider the new divisor 102 and the new remainder 29,and apply the division lemma to get
102 = 29 x 3 + 15
We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 626 and 757 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(102,29) = HCF(131,102) = HCF(626,131) = HCF(757,626) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 720 > 1, we apply the division lemma to 720 and 1, to get
720 = 1 x 720 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 720 is 1
Notice that 1 = HCF(720,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1
Notice that 1 = HCF(57,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 626, 757, 720, 57 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 626, 757, 720, 57?
Answer: HCF of 626, 757, 720, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 757, 720, 57 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 757, 720, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
