Highest Common Factor of 1778, 5034 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 1778, 5034 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1778, 5034 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 1778, 5034 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 1778, 5034 is 2.
HCF(1778, 5034) = 2
HCF of 1778, 5034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1778, 5034 is 2.
Highest Common Factor of 1778,5034 is 2
Step 1: Since 5034 > 1778, we apply the division lemma to 5034 and 1778, to get
5034 = 1778 x 2 + 1478
Step 2: Since the reminder 1778 ≠ 0, we apply division lemma to 1478 and 1778, to get
1778 = 1478 x 1 + 300
Step 3: We consider the new divisor 1478 and the new remainder 300, and apply the division lemma to get
1478 = 300 x 4 + 278
We consider the new divisor 300 and the new remainder 278,and apply the division lemma to get
300 = 278 x 1 + 22
We consider the new divisor 278 and the new remainder 22,and apply the division lemma to get
278 = 22 x 12 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1778 and 5034 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(278,22) = HCF(300,278) = HCF(1478,300) = HCF(1778,1478) = HCF(5034,1778) .
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Frequently Asked Questions on HCF of 1778, 5034 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 1778, 5034?
Answer: HCF of 1778, 5034 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1778, 5034 using Euclid's Algorithm?
Answer: For arbitrary numbers 1778, 5034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.