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 7918, 2258 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7918, 2258 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 7918, 2258 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 7918, 2258 is 2.
HCF(7918, 2258) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7918, 2258 is 2.
Step 1: Since 7918 > 2258, we apply the division lemma to 7918 and 2258, to get
7918 = 2258 x 3 + 1144
Step 2: Since the reminder 2258 ≠ 0, we apply division lemma to 1144 and 2258, to get
2258 = 1144 x 1 + 1114
Step 3: We consider the new divisor 1144 and the new remainder 1114, and apply the division lemma to get
1144 = 1114 x 1 + 30
We consider the new divisor 1114 and the new remainder 30,and apply the division lemma to get
1114 = 30 x 37 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7918 and 2258 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(1114,30) = HCF(1144,1114) = HCF(2258,1144) = HCF(7918,2258) .
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 7918, 2258?
Answer: HCF of 7918, 2258 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7918, 2258 using Euclid's Algorithm?
Answer: For arbitrary numbers 7918, 2258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.