Highest Common Factor of 727, 425 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 727, 425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 425 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 727, 425 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 727, 425 is 1.
HCF(727, 425) = 1
HCF of 727, 425 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 425 is 1.
Highest Common Factor of 727,425 is 1
Step 1: Since 727 > 425, we apply the division lemma to 727 and 425, to get
727 = 425 x 1 + 302
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 302 and 425, to get
425 = 302 x 1 + 123
Step 3: We consider the new divisor 302 and the new remainder 123, and apply the division lemma to get
302 = 123 x 2 + 56
We consider the new divisor 123 and the new remainder 56,and apply the division lemma to get
123 = 56 x 2 + 11
We consider the new divisor 56 and the new remainder 11,and apply the division lemma to get
56 = 11 x 5 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 727 and 425 is 1
Notice that 1 = HCF(11,1) = HCF(56,11) = HCF(123,56) = HCF(302,123) = HCF(425,302) = HCF(727,425) .
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Frequently Asked Questions on HCF of 727, 425 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 727, 425?
Answer: HCF of 727, 425 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 425 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
