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 7400, 2816 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 7400, 2816 is 8 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 7400, 2816 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 7400, 2816 is 8.
HCF(7400, 2816) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7400, 2816 is 8.
Step 1: Since 7400 > 2816, we apply the division lemma to 7400 and 2816, to get
7400 = 2816 x 2 + 1768
Step 2: Since the reminder 2816 ≠ 0, we apply division lemma to 1768 and 2816, to get
2816 = 1768 x 1 + 1048
Step 3: We consider the new divisor 1768 and the new remainder 1048, and apply the division lemma to get
1768 = 1048 x 1 + 720
We consider the new divisor 1048 and the new remainder 720,and apply the division lemma to get
1048 = 720 x 1 + 328
We consider the new divisor 720 and the new remainder 328,and apply the division lemma to get
720 = 328 x 2 + 64
We consider the new divisor 328 and the new remainder 64,and apply the division lemma to get
328 = 64 x 5 + 8
We consider the new divisor 64 and the new remainder 8,and apply the division lemma to get
64 = 8 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7400 and 2816 is 8
Notice that 8 = HCF(64,8) = HCF(328,64) = HCF(720,328) = HCF(1048,720) = HCF(1768,1048) = HCF(2816,1768) = HCF(7400,2816) .
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 7400, 2816?
Answer: HCF of 7400, 2816 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7400, 2816 using Euclid's Algorithm?
Answer: For arbitrary numbers 7400, 2816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.