Highest Common Factor of 7058, 7548 using Euclid's algorithm
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 7058, 7548 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7058, 7548 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 7058, 7548 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 7058, 7548 is 2.
HCF(7058, 7548) = 2
HCF of 7058, 7548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7058, 7548 is 2.
Highest Common Factor of 7058,7548 is 2
Step 1: Since 7548 > 7058, we apply the division lemma to 7548 and 7058, to get
7548 = 7058 x 1 + 490
Step 2: Since the reminder 7058 ≠ 0, we apply division lemma to 490 and 7058, to get
7058 = 490 x 14 + 198
Step 3: We consider the new divisor 490 and the new remainder 198, and apply the division lemma to get
490 = 198 x 2 + 94
We consider the new divisor 198 and the new remainder 94,and apply the division lemma to get
198 = 94 x 2 + 10
We consider the new divisor 94 and the new remainder 10,and apply the division lemma to get
94 = 10 x 9 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 7058 and 7548 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(94,10) = HCF(198,94) = HCF(490,198) = HCF(7058,490) = HCF(7548,7058) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7058, 7548 using Euclid's Algorithm
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 7058, 7548?
Answer: HCF of 7058, 7548 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7058, 7548 using Euclid's Algorithm?
Answer: For arbitrary numbers 7058, 7548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.