Highest Common Factor of 7456, 5878 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 7456, 5878 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7456, 5878 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 7456, 5878 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 7456, 5878 is 2.
HCF(7456, 5878) = 2
HCF of 7456, 5878 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7456, 5878 is 2.
Highest Common Factor of 7456,5878 is 2
Step 1: Since 7456 > 5878, we apply the division lemma to 7456 and 5878, to get
7456 = 5878 x 1 + 1578
Step 2: Since the reminder 5878 ≠ 0, we apply division lemma to 1578 and 5878, to get
5878 = 1578 x 3 + 1144
Step 3: We consider the new divisor 1578 and the new remainder 1144, and apply the division lemma to get
1578 = 1144 x 1 + 434
We consider the new divisor 1144 and the new remainder 434,and apply the division lemma to get
1144 = 434 x 2 + 276
We consider the new divisor 434 and the new remainder 276,and apply the division lemma to get
434 = 276 x 1 + 158
We consider the new divisor 276 and the new remainder 158,and apply the division lemma to get
276 = 158 x 1 + 118
We consider the new divisor 158 and the new remainder 118,and apply the division lemma to get
158 = 118 x 1 + 40
We consider the new divisor 118 and the new remainder 40,and apply the division lemma to get
118 = 40 x 2 + 38
We consider the new divisor 40 and the new remainder 38,and apply the division lemma to get
40 = 38 x 1 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7456 and 5878 is 2
Notice that 2 = HCF(38,2) = HCF(40,38) = HCF(118,40) = HCF(158,118) = HCF(276,158) = HCF(434,276) = HCF(1144,434) = HCF(1578,1144) = HCF(5878,1578) = HCF(7456,5878) .
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Frequently Asked Questions on HCF of 7456, 5878 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 7456, 5878?
Answer: HCF of 7456, 5878 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7456, 5878 using Euclid's Algorithm?
Answer: For arbitrary numbers 7456, 5878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.