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 7401, 4888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7401, 4888 is 1 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 7401, 4888 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 7401, 4888 is 1.
HCF(7401, 4888) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7401, 4888 is 1.
Step 1: Since 7401 > 4888, we apply the division lemma to 7401 and 4888, to get
7401 = 4888 x 1 + 2513
Step 2: Since the reminder 4888 ≠ 0, we apply division lemma to 2513 and 4888, to get
4888 = 2513 x 1 + 2375
Step 3: We consider the new divisor 2513 and the new remainder 2375, and apply the division lemma to get
2513 = 2375 x 1 + 138
We consider the new divisor 2375 and the new remainder 138,and apply the division lemma to get
2375 = 138 x 17 + 29
We consider the new divisor 138 and the new remainder 29,and apply the division lemma to get
138 = 29 x 4 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7401 and 4888 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(138,29) = HCF(2375,138) = HCF(2513,2375) = HCF(4888,2513) = HCF(7401,4888) .
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 7401, 4888?
Answer: HCF of 7401, 4888 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7401, 4888 using Euclid's Algorithm?
Answer: For arbitrary numbers 7401, 4888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.