Highest Common Factor of 44, 46, 75, 655 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 44, 46, 75, 655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 44, 46, 75, 655 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 44, 46, 75, 655 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 44, 46, 75, 655 is 1.
HCF(44, 46, 75, 655) = 1
HCF of 44, 46, 75, 655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 44, 46, 75, 655 is 1.
Highest Common Factor of 44,46,75,655 is 1
Step 1: Since 46 > 44, we apply the division lemma to 46 and 44, to get
46 = 44 x 1 + 2
Step 2: Since the reminder 44 ≠ 0, we apply division lemma to 2 and 44, 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 44 and 46 is 2
Notice that 2 = HCF(44,2) = HCF(46,44) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75 > 2, we apply the division lemma to 75 and 2, to get
75 = 2 x 37 + 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 75 is 1
Notice that 1 = HCF(2,1) = HCF(75,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 655 > 1, we apply the division lemma to 655 and 1, to get
655 = 1 x 655 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 655 is 1
Notice that 1 = HCF(655,1) .
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Frequently Asked Questions on HCF of 44, 46, 75, 655 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 44, 46, 75, 655?
Answer: HCF of 44, 46, 75, 655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 44, 46, 75, 655 using Euclid's Algorithm?
Answer: For arbitrary numbers 44, 46, 75, 655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.