Highest Common Factor of 6994, 1872 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 6994, 1872 i.e. 26 the largest integer that leaves a remainder zero for all numbers.
HCF of 6994, 1872 is 26 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 6994, 1872 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 6994, 1872 is 26.
HCF(6994, 1872) = 26
HCF of 6994, 1872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6994, 1872 is 26.
Highest Common Factor of 6994,1872 is 26
Step 1: Since 6994 > 1872, we apply the division lemma to 6994 and 1872, to get
6994 = 1872 x 3 + 1378
Step 2: Since the reminder 1872 ≠ 0, we apply division lemma to 1378 and 1872, to get
1872 = 1378 x 1 + 494
Step 3: We consider the new divisor 1378 and the new remainder 494, and apply the division lemma to get
1378 = 494 x 2 + 390
We consider the new divisor 494 and the new remainder 390,and apply the division lemma to get
494 = 390 x 1 + 104
We consider the new divisor 390 and the new remainder 104,and apply the division lemma to get
390 = 104 x 3 + 78
We consider the new divisor 104 and the new remainder 78,and apply the division lemma to get
104 = 78 x 1 + 26
We consider the new divisor 78 and the new remainder 26,and apply the division lemma to get
78 = 26 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 6994 and 1872 is 26
Notice that 26 = HCF(78,26) = HCF(104,78) = HCF(390,104) = HCF(494,390) = HCF(1378,494) = HCF(1872,1378) = HCF(6994,1872) .
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Frequently Asked Questions on HCF of 6994, 1872 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 6994, 1872?
Answer: HCF of 6994, 1872 is 26 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6994, 1872 using Euclid's Algorithm?
Answer: For arbitrary numbers 6994, 1872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.