Highest Common Factor of 1920, 5368, 92078 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 1920, 5368, 92078 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1920, 5368, 92078 is 2 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 1920, 5368, 92078 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 1920, 5368, 92078 is 2.
HCF(1920, 5368, 92078) = 2
HCF of 1920, 5368, 92078 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1920, 5368, 92078 is 2.
Highest Common Factor of 1920,5368,92078 is 2
Step 1: Since 5368 > 1920, we apply the division lemma to 5368 and 1920, to get
5368 = 1920 x 2 + 1528
Step 2: Since the reminder 1920 ≠ 0, we apply division lemma to 1528 and 1920, to get
1920 = 1528 x 1 + 392
Step 3: We consider the new divisor 1528 and the new remainder 392, and apply the division lemma to get
1528 = 392 x 3 + 352
We consider the new divisor 392 and the new remainder 352,and apply the division lemma to get
392 = 352 x 1 + 40
We consider the new divisor 352 and the new remainder 40,and apply the division lemma to get
352 = 40 x 8 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 1920 and 5368 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(352,40) = HCF(392,352) = HCF(1528,392) = HCF(1920,1528) = HCF(5368,1920) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92078 > 8, we apply the division lemma to 92078 and 8, to get
92078 = 8 x 11509 + 6
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 6 and 8, to get
8 = 6 x 1 + 2
Step 3: We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 92078 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(92078,8) .
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Frequently Asked Questions on HCF of 1920, 5368, 92078 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 1920, 5368, 92078?
Answer: HCF of 1920, 5368, 92078 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1920, 5368, 92078 using Euclid's Algorithm?
Answer: For arbitrary numbers 1920, 5368, 92078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.