Highest Common Factor of 224, 582, 751, 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 224, 582, 751, 45 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 224, 582, 751, 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 224, 582, 751, 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 224, 582, 751, 45 is 1.
HCF(224, 582, 751, 45) = 1
HCF of 224, 582, 751, 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 224, 582, 751, 45 is 1.
Highest Common Factor of 224,582,751,45 is 1
Step 1: Since 582 > 224, we apply the division lemma to 582 and 224, to get
582 = 224 x 2 + 134
Step 2: Since the reminder 224 ≠ 0, we apply division lemma to 134 and 224, to get
224 = 134 x 1 + 90
Step 3: We consider the new divisor 134 and the new remainder 90, and apply the division lemma to get
134 = 90 x 1 + 44
We consider the new divisor 90 and the new remainder 44,and apply the division lemma to get
90 = 44 x 2 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 224 and 582 is 2
Notice that 2 = HCF(44,2) = HCF(90,44) = HCF(134,90) = HCF(224,134) = HCF(582,224) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 751 > 2, we apply the division lemma to 751 and 2, to get
751 = 2 x 375 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 751 is 1
Notice that 1 = HCF(2,1) = HCF(751,2) .
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 224, 582, 751, 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 224, 582, 751, 45?
Answer: HCF of 224, 582, 751, 45 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 224, 582, 751, 45 using Euclid's Algorithm?
Answer: For arbitrary numbers 224, 582, 751, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.