Highest Common Factor of 831, 7125, 2785 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 831, 7125, 2785 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 831, 7125, 2785 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 831, 7125, 2785 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 831, 7125, 2785 is 1.
HCF(831, 7125, 2785) = 1
HCF of 831, 7125, 2785 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 831, 7125, 2785 is 1.
Highest Common Factor of 831,7125,2785 is 1
Step 1: Since 7125 > 831, we apply the division lemma to 7125 and 831, to get
7125 = 831 x 8 + 477
Step 2: Since the reminder 831 ≠ 0, we apply division lemma to 477 and 831, to get
831 = 477 x 1 + 354
Step 3: We consider the new divisor 477 and the new remainder 354, and apply the division lemma to get
477 = 354 x 1 + 123
We consider the new divisor 354 and the new remainder 123,and apply the division lemma to get
354 = 123 x 2 + 108
We consider the new divisor 123 and the new remainder 108,and apply the division lemma to get
123 = 108 x 1 + 15
We consider the new divisor 108 and the new remainder 15,and apply the division lemma to get
108 = 15 x 7 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 831 and 7125 is 3
Notice that 3 = HCF(15,3) = HCF(108,15) = HCF(123,108) = HCF(354,123) = HCF(477,354) = HCF(831,477) = HCF(7125,831) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2785 > 3, we apply the division lemma to 2785 and 3, to get
2785 = 3 x 928 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 2785 is 1
Notice that 1 = HCF(3,1) = HCF(2785,3) .
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Frequently Asked Questions on HCF of 831, 7125, 2785 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 831, 7125, 2785?
Answer: HCF of 831, 7125, 2785 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 831, 7125, 2785 using Euclid's Algorithm?
Answer: For arbitrary numbers 831, 7125, 2785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
