Highest Common Factor of 661, 487, 801, 75 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 661, 487, 801, 75 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 661, 487, 801, 75 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 661, 487, 801, 75 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 661, 487, 801, 75 is 1.
HCF(661, 487, 801, 75) = 1
HCF of 661, 487, 801, 75 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 661, 487, 801, 75 is 1.
Highest Common Factor of 661,487,801,75 is 1
Step 1: Since 661 > 487, we apply the division lemma to 661 and 487, to get
661 = 487 x 1 + 174
Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 174 and 487, to get
487 = 174 x 2 + 139
Step 3: We consider the new divisor 174 and the new remainder 139, and apply the division lemma to get
174 = 139 x 1 + 35
We consider the new divisor 139 and the new remainder 35,and apply the division lemma to get
139 = 35 x 3 + 34
We consider the new divisor 35 and the new remainder 34,and apply the division lemma to get
35 = 34 x 1 + 1
We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get
34 = 1 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 661 and 487 is 1
Notice that 1 = HCF(34,1) = HCF(35,34) = HCF(139,35) = HCF(174,139) = HCF(487,174) = HCF(661,487) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 801 > 1, we apply the division lemma to 801 and 1, to get
801 = 1 x 801 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 801 is 1
Notice that 1 = HCF(801,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75 > 1, we apply the division lemma to 75 and 1, to get
75 = 1 x 75 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75 is 1
Notice that 1 = HCF(75,1) .
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Frequently Asked Questions on HCF of 661, 487, 801, 75 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 661, 487, 801, 75?
Answer: HCF of 661, 487, 801, 75 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 661, 487, 801, 75 using Euclid's Algorithm?
Answer: For arbitrary numbers 661, 487, 801, 75 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.