Highest Common Factor of 3748, 3030 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 3748, 3030 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3748, 3030 is 2 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 3748, 3030 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 3748, 3030 is 2.
HCF(3748, 3030) = 2
HCF of 3748, 3030 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3748, 3030 is 2.
Highest Common Factor of 3748,3030 is 2
Step 1: Since 3748 > 3030, we apply the division lemma to 3748 and 3030, to get
3748 = 3030 x 1 + 718
Step 2: Since the reminder 3030 ≠ 0, we apply division lemma to 718 and 3030, to get
3030 = 718 x 4 + 158
Step 3: We consider the new divisor 718 and the new remainder 158, and apply the division lemma to get
718 = 158 x 4 + 86
We consider the new divisor 158 and the new remainder 86,and apply the division lemma to get
158 = 86 x 1 + 72
We consider the new divisor 86 and the new remainder 72,and apply the division lemma to get
86 = 72 x 1 + 14
We consider the new divisor 72 and the new remainder 14,and apply the division lemma to get
72 = 14 x 5 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3748 and 3030 is 2
Notice that 2 = HCF(14,2) = HCF(72,14) = HCF(86,72) = HCF(158,86) = HCF(718,158) = HCF(3030,718) = HCF(3748,3030) .
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Frequently Asked Questions on HCF of 3748, 3030 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 3748, 3030?
Answer: HCF of 3748, 3030 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3748, 3030 using Euclid's Algorithm?
Answer: For arbitrary numbers 3748, 3030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.