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 4259, 7148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4259, 7148 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 4259, 7148 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 4259, 7148 is 1.
HCF(4259, 7148) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4259, 7148 is 1.
Step 1: Since 7148 > 4259, we apply the division lemma to 7148 and 4259, to get
7148 = 4259 x 1 + 2889
Step 2: Since the reminder 4259 ≠ 0, we apply division lemma to 2889 and 4259, to get
4259 = 2889 x 1 + 1370
Step 3: We consider the new divisor 2889 and the new remainder 1370, and apply the division lemma to get
2889 = 1370 x 2 + 149
We consider the new divisor 1370 and the new remainder 149,and apply the division lemma to get
1370 = 149 x 9 + 29
We consider the new divisor 149 and the new remainder 29,and apply the division lemma to get
149 = 29 x 5 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4259 and 7148 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(149,29) = HCF(1370,149) = HCF(2889,1370) = HCF(4259,2889) = HCF(7148,4259) .
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 4259, 7148?
Answer: HCF of 4259, 7148 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4259, 7148 using Euclid's Algorithm?
Answer: For arbitrary numbers 4259, 7148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.