Highest Common Factor of 4149, 7798 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 4149, 7798 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4149, 7798 is 1 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 4149, 7798 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 4149, 7798 is 1.
HCF(4149, 7798) = 1
HCF of 4149, 7798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4149, 7798 is 1.
Highest Common Factor of 4149,7798 is 1
Step 1: Since 7798 > 4149, we apply the division lemma to 7798 and 4149, to get
7798 = 4149 x 1 + 3649
Step 2: Since the reminder 4149 ≠ 0, we apply division lemma to 3649 and 4149, to get
4149 = 3649 x 1 + 500
Step 3: We consider the new divisor 3649 and the new remainder 500, and apply the division lemma to get
3649 = 500 x 7 + 149
We consider the new divisor 500 and the new remainder 149,and apply the division lemma to get
500 = 149 x 3 + 53
We consider the new divisor 149 and the new remainder 53,and apply the division lemma to get
149 = 53 x 2 + 43
We consider the new divisor 53 and the new remainder 43,and apply the division lemma to get
53 = 43 x 1 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4149 and 7798 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(53,43) = HCF(149,53) = HCF(500,149) = HCF(3649,500) = HCF(4149,3649) = HCF(7798,4149) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4149, 7798 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 4149, 7798?
Answer: HCF of 4149, 7798 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4149, 7798 using Euclid's Algorithm?
Answer: For arbitrary numbers 4149, 7798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.