Highest Common Factor of 501, 7324, 1544 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, 7324, 1544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 7324, 1544 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, 7324, 1544 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, 7324, 1544 is 1.
HCF(501, 7324, 1544) = 1
HCF of 501, 7324, 1544 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, 7324, 1544 is 1.
Highest Common Factor of 501,7324,1544 is 1
Step 1: Since 7324 > 501, we apply the division lemma to 7324 and 501, to get
7324 = 501 x 14 + 310
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 310 and 501, to get
501 = 310 x 1 + 191
Step 3: We consider the new divisor 310 and the new remainder 191, and apply the division lemma to get
310 = 191 x 1 + 119
We consider the new divisor 191 and the new remainder 119,and apply the division lemma to get
191 = 119 x 1 + 72
We consider the new divisor 119 and the new remainder 72,and apply the division lemma to get
119 = 72 x 1 + 47
We consider the new divisor 72 and the new remainder 47,and apply the division lemma to get
72 = 47 x 1 + 25
We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get
47 = 25 x 1 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 501 and 7324 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(72,47) = HCF(119,72) = HCF(191,119) = HCF(310,191) = HCF(501,310) = HCF(7324,501) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1544 > 1, we apply the division lemma to 1544 and 1, to get
1544 = 1 x 1544 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1544 is 1
Notice that 1 = HCF(1544,1) .
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Frequently Asked Questions on HCF of 501, 7324, 1544 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, 7324, 1544?
Answer: HCF of 501, 7324, 1544 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 7324, 1544 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 7324, 1544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.