Highest Common Factor of 919, 1513 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 919, 1513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 919, 1513 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 919, 1513 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 919, 1513 is 1.
HCF(919, 1513) = 1
HCF of 919, 1513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 919, 1513 is 1.
Highest Common Factor of 919,1513 is 1
Step 1: Since 1513 > 919, we apply the division lemma to 1513 and 919, to get
1513 = 919 x 1 + 594
Step 2: Since the reminder 919 ≠ 0, we apply division lemma to 594 and 919, to get
919 = 594 x 1 + 325
Step 3: We consider the new divisor 594 and the new remainder 325, and apply the division lemma to get
594 = 325 x 1 + 269
We consider the new divisor 325 and the new remainder 269,and apply the division lemma to get
325 = 269 x 1 + 56
We consider the new divisor 269 and the new remainder 56,and apply the division lemma to get
269 = 56 x 4 + 45
We consider the new divisor 56 and the new remainder 45,and apply the division lemma to get
56 = 45 x 1 + 11
We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get
45 = 11 x 4 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 919 and 1513 is 1
Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(56,45) = HCF(269,56) = HCF(325,269) = HCF(594,325) = HCF(919,594) = HCF(1513,919) .
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Frequently Asked Questions on HCF of 919, 1513 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 919, 1513?
Answer: HCF of 919, 1513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 919, 1513 using Euclid's Algorithm?
Answer: For arbitrary numbers 919, 1513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.