Highest Common Factor of 1519, 7428 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 1519, 7428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1519, 7428 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 1519, 7428 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 1519, 7428 is 1.
HCF(1519, 7428) = 1
HCF of 1519, 7428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1519, 7428 is 1.
Highest Common Factor of 1519,7428 is 1
Step 1: Since 7428 > 1519, we apply the division lemma to 7428 and 1519, to get
7428 = 1519 x 4 + 1352
Step 2: Since the reminder 1519 ≠ 0, we apply division lemma to 1352 and 1519, to get
1519 = 1352 x 1 + 167
Step 3: We consider the new divisor 1352 and the new remainder 167, and apply the division lemma to get
1352 = 167 x 8 + 16
We consider the new divisor 167 and the new remainder 16,and apply the division lemma to get
167 = 16 x 10 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1519 and 7428 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(167,16) = HCF(1352,167) = HCF(1519,1352) = HCF(7428,1519) .
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Frequently Asked Questions on HCF of 1519, 7428 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 1519, 7428?
Answer: HCF of 1519, 7428 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1519, 7428 using Euclid's Algorithm?
Answer: For arbitrary numbers 1519, 7428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.