Highest Common Factor of 725, 9979 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 725, 9979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 9979 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 725, 9979 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 725, 9979 is 1.
HCF(725, 9979) = 1
HCF of 725, 9979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 725, 9979 is 1.
Highest Common Factor of 725,9979 is 1
Step 1: Since 9979 > 725, we apply the division lemma to 9979 and 725, to get
9979 = 725 x 13 + 554
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 554 and 725, to get
725 = 554 x 1 + 171
Step 3: We consider the new divisor 554 and the new remainder 171, and apply the division lemma to get
554 = 171 x 3 + 41
We consider the new divisor 171 and the new remainder 41,and apply the division lemma to get
171 = 41 x 4 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 725 and 9979 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(171,41) = HCF(554,171) = HCF(725,554) = HCF(9979,725) .
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Frequently Asked Questions on HCF of 725, 9979 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 725, 9979?
Answer: HCF of 725, 9979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 9979 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 9979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.