Highest Common Factor of 879, 725, 13 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 879, 725, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 725, 13 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 879, 725, 13 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 879, 725, 13 is 1.
HCF(879, 725, 13) = 1
HCF of 879, 725, 13 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 879, 725, 13 is 1.
Highest Common Factor of 879,725,13 is 1
Step 1: Since 879 > 725, we apply the division lemma to 879 and 725, to get
879 = 725 x 1 + 154
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 154 and 725, to get
725 = 154 x 4 + 109
Step 3: We consider the new divisor 154 and the new remainder 109, and apply the division lemma to get
154 = 109 x 1 + 45
We consider the new divisor 109 and the new remainder 45,and apply the division lemma to get
109 = 45 x 2 + 19
We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get
45 = 19 x 2 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 879 and 725 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(109,45) = HCF(154,109) = HCF(725,154) = HCF(879,725) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1
Notice that 1 = HCF(13,1) .
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Frequently Asked Questions on HCF of 879, 725, 13 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 879, 725, 13?
Answer: HCF of 879, 725, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 725, 13 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 725, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.