Highest Common Factor of 5054, 740 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 5054, 740 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5054, 740 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 5054, 740 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 5054, 740 is 2.
HCF(5054, 740) = 2
HCF of 5054, 740 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5054, 740 is 2.
Highest Common Factor of 5054,740 is 2
Step 1: Since 5054 > 740, we apply the division lemma to 5054 and 740, to get
5054 = 740 x 6 + 614
Step 2: Since the reminder 740 ≠ 0, we apply division lemma to 614 and 740, to get
740 = 614 x 1 + 126
Step 3: We consider the new divisor 614 and the new remainder 126, and apply the division lemma to get
614 = 126 x 4 + 110
We consider the new divisor 126 and the new remainder 110,and apply the division lemma to get
126 = 110 x 1 + 16
We consider the new divisor 110 and the new remainder 16,and apply the division lemma to get
110 = 16 x 6 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 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 5054 and 740 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(110,16) = HCF(126,110) = HCF(614,126) = HCF(740,614) = HCF(5054,740) .
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Frequently Asked Questions on HCF of 5054, 740 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 5054, 740?
Answer: HCF of 5054, 740 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5054, 740 using Euclid's Algorithm?
Answer: For arbitrary numbers 5054, 740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.