Highest Common Factor of 1994, 5464 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 1994, 5464 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1994, 5464 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 1994, 5464 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 1994, 5464 is 2.
HCF(1994, 5464) = 2
HCF of 1994, 5464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1994, 5464 is 2.
Highest Common Factor of 1994,5464 is 2
Step 1: Since 5464 > 1994, we apply the division lemma to 5464 and 1994, to get
5464 = 1994 x 2 + 1476
Step 2: Since the reminder 1994 ≠ 0, we apply division lemma to 1476 and 1994, to get
1994 = 1476 x 1 + 518
Step 3: We consider the new divisor 1476 and the new remainder 518, and apply the division lemma to get
1476 = 518 x 2 + 440
We consider the new divisor 518 and the new remainder 440,and apply the division lemma to get
518 = 440 x 1 + 78
We consider the new divisor 440 and the new remainder 78,and apply the division lemma to get
440 = 78 x 5 + 50
We consider the new divisor 78 and the new remainder 50,and apply the division lemma to get
78 = 50 x 1 + 28
We consider the new divisor 50 and the new remainder 28,and apply the division lemma to get
50 = 28 x 1 + 22
We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get
28 = 22 x 1 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1994 and 5464 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(50,28) = HCF(78,50) = HCF(440,78) = HCF(518,440) = HCF(1476,518) = HCF(1994,1476) = HCF(5464,1994) .
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Frequently Asked Questions on HCF of 1994, 5464 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 1994, 5464?
Answer: HCF of 1994, 5464 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1994, 5464 using Euclid's Algorithm?
Answer: For arbitrary numbers 1994, 5464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
