Highest Common Factor of 3919, 7346 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 3919, 7346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3919, 7346 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 3919, 7346 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 3919, 7346 is 1.
HCF(3919, 7346) = 1
HCF of 3919, 7346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3919, 7346 is 1.
Highest Common Factor of 3919,7346 is 1
Step 1: Since 7346 > 3919, we apply the division lemma to 7346 and 3919, to get
7346 = 3919 x 1 + 3427
Step 2: Since the reminder 3919 ≠ 0, we apply division lemma to 3427 and 3919, to get
3919 = 3427 x 1 + 492
Step 3: We consider the new divisor 3427 and the new remainder 492, and apply the division lemma to get
3427 = 492 x 6 + 475
We consider the new divisor 492 and the new remainder 475,and apply the division lemma to get
492 = 475 x 1 + 17
We consider the new divisor 475 and the new remainder 17,and apply the division lemma to get
475 = 17 x 27 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3919 and 7346 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(475,17) = HCF(492,475) = HCF(3427,492) = HCF(3919,3427) = HCF(7346,3919) .
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Frequently Asked Questions on HCF of 3919, 7346 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 3919, 7346?
Answer: HCF of 3919, 7346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3919, 7346 using Euclid's Algorithm?
Answer: For arbitrary numbers 3919, 7346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
