Highest Common Factor of 6881, 2485 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 6881, 2485 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 6881, 2485 is 7 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 6881, 2485 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 6881, 2485 is 7.
HCF(6881, 2485) = 7
HCF of 6881, 2485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6881, 2485 is 7.
Highest Common Factor of 6881,2485 is 7
Step 1: Since 6881 > 2485, we apply the division lemma to 6881 and 2485, to get
6881 = 2485 x 2 + 1911
Step 2: Since the reminder 2485 ≠ 0, we apply division lemma to 1911 and 2485, to get
2485 = 1911 x 1 + 574
Step 3: We consider the new divisor 1911 and the new remainder 574, and apply the division lemma to get
1911 = 574 x 3 + 189
We consider the new divisor 574 and the new remainder 189,and apply the division lemma to get
574 = 189 x 3 + 7
We consider the new divisor 189 and the new remainder 7,and apply the division lemma to get
189 = 7 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6881 and 2485 is 7
Notice that 7 = HCF(189,7) = HCF(574,189) = HCF(1911,574) = HCF(2485,1911) = HCF(6881,2485) .
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Frequently Asked Questions on HCF of 6881, 2485 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 6881, 2485?
Answer: HCF of 6881, 2485 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6881, 2485 using Euclid's Algorithm?
Answer: For arbitrary numbers 6881, 2485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.