Highest Common Factor of 1648, 4798 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 1648, 4798 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1648, 4798 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 1648, 4798 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 1648, 4798 is 2.
HCF(1648, 4798) = 2
HCF of 1648, 4798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1648, 4798 is 2.
Highest Common Factor of 1648,4798 is 2
Step 1: Since 4798 > 1648, we apply the division lemma to 4798 and 1648, to get
4798 = 1648 x 2 + 1502
Step 2: Since the reminder 1648 ≠ 0, we apply division lemma to 1502 and 1648, to get
1648 = 1502 x 1 + 146
Step 3: We consider the new divisor 1502 and the new remainder 146, and apply the division lemma to get
1502 = 146 x 10 + 42
We consider the new divisor 146 and the new remainder 42,and apply the division lemma to get
146 = 42 x 3 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1648 and 4798 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(146,42) = HCF(1502,146) = HCF(1648,1502) = HCF(4798,1648) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1648, 4798 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 1648, 4798?
Answer: HCF of 1648, 4798 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1648, 4798 using Euclid's Algorithm?
Answer: For arbitrary numbers 1648, 4798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.