Highest Common Factor of 724, 450, 626, 60 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 724, 450, 626, 60 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 724, 450, 626, 60 is 2 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 724, 450, 626, 60 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 724, 450, 626, 60 is 2.
HCF(724, 450, 626, 60) = 2
HCF of 724, 450, 626, 60 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 724, 450, 626, 60 is 2.
Highest Common Factor of 724,450,626,60 is 2
Step 1: Since 724 > 450, we apply the division lemma to 724 and 450, to get
724 = 450 x 1 + 274
Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 274 and 450, to get
450 = 274 x 1 + 176
Step 3: We consider the new divisor 274 and the new remainder 176, and apply the division lemma to get
274 = 176 x 1 + 98
We consider the new divisor 176 and the new remainder 98,and apply the division lemma to get
176 = 98 x 1 + 78
We consider the new divisor 98 and the new remainder 78,and apply the division lemma to get
98 = 78 x 1 + 20
We consider the new divisor 78 and the new remainder 20,and apply the division lemma to get
78 = 20 x 3 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 724 and 450 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(78,20) = HCF(98,78) = HCF(176,98) = HCF(274,176) = HCF(450,274) = HCF(724,450) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 626 > 2, we apply the division lemma to 626 and 2, to get
626 = 2 x 313 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 626 is 2
Notice that 2 = HCF(626,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 2, we apply the division lemma to 60 and 2, to get
60 = 2 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 60 is 2
Notice that 2 = HCF(60,2) .
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Frequently Asked Questions on HCF of 724, 450, 626, 60 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 724, 450, 626, 60?
Answer: HCF of 724, 450, 626, 60 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 724, 450, 626, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 724, 450, 626, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.