Highest Common Factor of 725, 919 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, 919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 919 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, 919 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, 919 is 1.
HCF(725, 919) = 1
HCF of 725, 919 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, 919 is 1.
Highest Common Factor of 725,919 is 1
Step 1: Since 919 > 725, we apply the division lemma to 919 and 725, to get
919 = 725 x 1 + 194
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 194 and 725, to get
725 = 194 x 3 + 143
Step 3: We consider the new divisor 194 and the new remainder 143, and apply the division lemma to get
194 = 143 x 1 + 51
We consider the new divisor 143 and the new remainder 51,and apply the division lemma to get
143 = 51 x 2 + 41
We consider the new divisor 51 and the new remainder 41,and apply the division lemma to get
51 = 41 x 1 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 725 and 919 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(51,41) = HCF(143,51) = HCF(194,143) = HCF(725,194) = HCF(919,725) .
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Frequently Asked Questions on HCF of 725, 919 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, 919?
Answer: HCF of 725, 919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 919 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.