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 7874, 1848 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7874, 1848 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 7874, 1848 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 7874, 1848 is 2.
HCF(7874, 1848) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7874, 1848 is 2.
Step 1: Since 7874 > 1848, we apply the division lemma to 7874 and 1848, to get
7874 = 1848 x 4 + 482
Step 2: Since the reminder 1848 ≠ 0, we apply division lemma to 482 and 1848, to get
1848 = 482 x 3 + 402
Step 3: We consider the new divisor 482 and the new remainder 402, and apply the division lemma to get
482 = 402 x 1 + 80
We consider the new divisor 402 and the new remainder 80,and apply the division lemma to get
402 = 80 x 5 + 2
We consider the new divisor 80 and the new remainder 2,and apply the division lemma to get
80 = 2 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7874 and 1848 is 2
Notice that 2 = HCF(80,2) = HCF(402,80) = HCF(482,402) = HCF(1848,482) = HCF(7874,1848) .
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 7874, 1848?
Answer: HCF of 7874, 1848 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7874, 1848 using Euclid's Algorithm?
Answer: For arbitrary numbers 7874, 1848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.