Highest Common Factor of 501, 775, 150 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 501, 775, 150 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 775, 150 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 501, 775, 150 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 501, 775, 150 is 1.
HCF(501, 775, 150) = 1
HCF of 501, 775, 150 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 501, 775, 150 is 1.
Highest Common Factor of 501,775,150 is 1
Step 1: Since 775 > 501, we apply the division lemma to 775 and 501, to get
775 = 501 x 1 + 274
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 274 and 501, to get
501 = 274 x 1 + 227
Step 3: We consider the new divisor 274 and the new remainder 227, and apply the division lemma to get
274 = 227 x 1 + 47
We consider the new divisor 227 and the new remainder 47,and apply the division lemma to get
227 = 47 x 4 + 39
We consider the new divisor 47 and the new remainder 39,and apply the division lemma to get
47 = 39 x 1 + 8
We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get
39 = 8 x 4 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 501 and 775 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(47,39) = HCF(227,47) = HCF(274,227) = HCF(501,274) = HCF(775,501) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 150 > 1, we apply the division lemma to 150 and 1, to get
150 = 1 x 150 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 150 is 1
Notice that 1 = HCF(150,1) .
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Frequently Asked Questions on HCF of 501, 775, 150 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 501, 775, 150?
Answer: HCF of 501, 775, 150 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 775, 150 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 775, 150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
