Highest Common Factor of 501, 7386 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, 7386 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 7386 is 3 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, 7386 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, 7386 is 3.
HCF(501, 7386) = 3
HCF of 501, 7386 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, 7386 is 3.
Highest Common Factor of 501,7386 is 3
Step 1: Since 7386 > 501, we apply the division lemma to 7386 and 501, to get
7386 = 501 x 14 + 372
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 372 and 501, to get
501 = 372 x 1 + 129
Step 3: We consider the new divisor 372 and the new remainder 129, and apply the division lemma to get
372 = 129 x 2 + 114
We consider the new divisor 129 and the new remainder 114,and apply the division lemma to get
129 = 114 x 1 + 15
We consider the new divisor 114 and the new remainder 15,and apply the division lemma to get
114 = 15 x 7 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 501 and 7386 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(114,15) = HCF(129,114) = HCF(372,129) = HCF(501,372) = HCF(7386,501) .
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Frequently Asked Questions on HCF of 501, 7386 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, 7386?
Answer: HCF of 501, 7386 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 7386 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 7386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.