Highest Common Factor of 4994, 7784 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 4994, 7784 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4994, 7784 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 4994, 7784 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 4994, 7784 is 2.
HCF(4994, 7784) = 2
HCF of 4994, 7784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4994, 7784 is 2.
Highest Common Factor of 4994,7784 is 2
Step 1: Since 7784 > 4994, we apply the division lemma to 7784 and 4994, to get
7784 = 4994 x 1 + 2790
Step 2: Since the reminder 4994 ≠ 0, we apply division lemma to 2790 and 4994, to get
4994 = 2790 x 1 + 2204
Step 3: We consider the new divisor 2790 and the new remainder 2204, and apply the division lemma to get
2790 = 2204 x 1 + 586
We consider the new divisor 2204 and the new remainder 586,and apply the division lemma to get
2204 = 586 x 3 + 446
We consider the new divisor 586 and the new remainder 446,and apply the division lemma to get
586 = 446 x 1 + 140
We consider the new divisor 446 and the new remainder 140,and apply the division lemma to get
446 = 140 x 3 + 26
We consider the new divisor 140 and the new remainder 26,and apply the division lemma to get
140 = 26 x 5 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 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 4994 and 7784 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(140,26) = HCF(446,140) = HCF(586,446) = HCF(2204,586) = HCF(2790,2204) = HCF(4994,2790) = HCF(7784,4994) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4994, 7784 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 4994, 7784?
Answer: HCF of 4994, 7784 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4994, 7784 using Euclid's Algorithm?
Answer: For arbitrary numbers 4994, 7784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.