Highest Common Factor of 725, 2119, 1338 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, 2119, 1338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 2119, 1338 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, 2119, 1338 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, 2119, 1338 is 1.
HCF(725, 2119, 1338) = 1
HCF of 725, 2119, 1338 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, 2119, 1338 is 1.
Highest Common Factor of 725,2119,1338 is 1
Step 1: Since 2119 > 725, we apply the division lemma to 2119 and 725, to get
2119 = 725 x 2 + 669
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 669 and 725, to get
725 = 669 x 1 + 56
Step 3: We consider the new divisor 669 and the new remainder 56, and apply the division lemma to get
669 = 56 x 11 + 53
We consider the new divisor 56 and the new remainder 53,and apply the division lemma to get
56 = 53 x 1 + 3
We consider the new divisor 53 and the new remainder 3,and apply the division lemma to get
53 = 3 x 17 + 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 725 and 2119 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(56,53) = HCF(669,56) = HCF(725,669) = HCF(2119,725) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1338 > 1, we apply the division lemma to 1338 and 1, to get
1338 = 1 x 1338 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1338 is 1
Notice that 1 = HCF(1338,1) .
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Frequently Asked Questions on HCF of 725, 2119, 1338 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, 2119, 1338?
Answer: HCF of 725, 2119, 1338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 2119, 1338 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 2119, 1338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.