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 5048, 1918 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5048, 1918 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 5048, 1918 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 5048, 1918 is 2.
HCF(5048, 1918) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5048, 1918 is 2.
Step 1: Since 5048 > 1918, we apply the division lemma to 5048 and 1918, to get
5048 = 1918 x 2 + 1212
Step 2: Since the reminder 1918 ≠ 0, we apply division lemma to 1212 and 1918, to get
1918 = 1212 x 1 + 706
Step 3: We consider the new divisor 1212 and the new remainder 706, and apply the division lemma to get
1212 = 706 x 1 + 506
We consider the new divisor 706 and the new remainder 506,and apply the division lemma to get
706 = 506 x 1 + 200
We consider the new divisor 506 and the new remainder 200,and apply the division lemma to get
506 = 200 x 2 + 106
We consider the new divisor 200 and the new remainder 106,and apply the division lemma to get
200 = 106 x 1 + 94
We consider the new divisor 106 and the new remainder 94,and apply the division lemma to get
106 = 94 x 1 + 12
We consider the new divisor 94 and the new remainder 12,and apply the division lemma to get
94 = 12 x 7 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5048 and 1918 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(94,12) = HCF(106,94) = HCF(200,106) = HCF(506,200) = HCF(706,506) = HCF(1212,706) = HCF(1918,1212) = HCF(5048,1918) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5048, 1918?
Answer: HCF of 5048, 1918 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5048, 1918 using Euclid's Algorithm?
Answer: For arbitrary numbers 5048, 1918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.