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 7448, 4675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7448, 4675 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 7448, 4675 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 7448, 4675 is 1.
HCF(7448, 4675) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7448, 4675 is 1.
Step 1: Since 7448 > 4675, we apply the division lemma to 7448 and 4675, to get
7448 = 4675 x 1 + 2773
Step 2: Since the reminder 4675 ≠ 0, we apply division lemma to 2773 and 4675, to get
4675 = 2773 x 1 + 1902
Step 3: We consider the new divisor 2773 and the new remainder 1902, and apply the division lemma to get
2773 = 1902 x 1 + 871
We consider the new divisor 1902 and the new remainder 871,and apply the division lemma to get
1902 = 871 x 2 + 160
We consider the new divisor 871 and the new remainder 160,and apply the division lemma to get
871 = 160 x 5 + 71
We consider the new divisor 160 and the new remainder 71,and apply the division lemma to get
160 = 71 x 2 + 18
We consider the new divisor 71 and the new remainder 18,and apply the division lemma to get
71 = 18 x 3 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7448 and 4675 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(71,18) = HCF(160,71) = HCF(871,160) = HCF(1902,871) = HCF(2773,1902) = HCF(4675,2773) = HCF(7448,4675) .
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 7448, 4675?
Answer: HCF of 7448, 4675 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7448, 4675 using Euclid's Algorithm?
Answer: For arbitrary numbers 7448, 4675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.