Highest Common Factor of 7575, 1557 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 7575, 1557 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7575, 1557 is 3 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 7575, 1557 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 7575, 1557 is 3.
HCF(7575, 1557) = 3
HCF of 7575, 1557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7575, 1557 is 3.
Highest Common Factor of 7575,1557 is 3
Step 1: Since 7575 > 1557, we apply the division lemma to 7575 and 1557, to get
7575 = 1557 x 4 + 1347
Step 2: Since the reminder 1557 ≠ 0, we apply division lemma to 1347 and 1557, to get
1557 = 1347 x 1 + 210
Step 3: We consider the new divisor 1347 and the new remainder 210, and apply the division lemma to get
1347 = 210 x 6 + 87
We consider the new divisor 210 and the new remainder 87,and apply the division lemma to get
210 = 87 x 2 + 36
We consider the new divisor 87 and the new remainder 36,and apply the division lemma to get
87 = 36 x 2 + 15
We consider the new divisor 36 and the new remainder 15,and apply the division lemma to get
36 = 15 x 2 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7575 and 1557 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(36,15) = HCF(87,36) = HCF(210,87) = HCF(1347,210) = HCF(1557,1347) = HCF(7575,1557) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7575, 1557 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 7575, 1557?
Answer: HCF of 7575, 1557 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7575, 1557 using Euclid's Algorithm?
Answer: For arbitrary numbers 7575, 1557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.