Highest Common Factor of 1579, 7725 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 1579, 7725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1579, 7725 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 1579, 7725 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 1579, 7725 is 1.
HCF(1579, 7725) = 1
HCF of 1579, 7725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1579, 7725 is 1.
Highest Common Factor of 1579,7725 is 1
Step 1: Since 7725 > 1579, we apply the division lemma to 7725 and 1579, to get
7725 = 1579 x 4 + 1409
Step 2: Since the reminder 1579 ≠ 0, we apply division lemma to 1409 and 1579, to get
1579 = 1409 x 1 + 170
Step 3: We consider the new divisor 1409 and the new remainder 170, and apply the division lemma to get
1409 = 170 x 8 + 49
We consider the new divisor 170 and the new remainder 49,and apply the division lemma to get
170 = 49 x 3 + 23
We consider the new divisor 49 and the new remainder 23,and apply the division lemma to get
49 = 23 x 2 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1579 and 7725 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(49,23) = HCF(170,49) = HCF(1409,170) = HCF(1579,1409) = HCF(7725,1579) .
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Frequently Asked Questions on HCF of 1579, 7725 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 1579, 7725?
Answer: HCF of 1579, 7725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1579, 7725 using Euclid's Algorithm?
Answer: For arbitrary numbers 1579, 7725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.