Highest Common Factor of 6104, 7462 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 6104, 7462 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 6104, 7462 is 14 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 6104, 7462 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 6104, 7462 is 14.
HCF(6104, 7462) = 14
HCF of 6104, 7462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6104, 7462 is 14.
Highest Common Factor of 6104,7462 is 14
Step 1: Since 7462 > 6104, we apply the division lemma to 7462 and 6104, to get
7462 = 6104 x 1 + 1358
Step 2: Since the reminder 6104 ≠ 0, we apply division lemma to 1358 and 6104, to get
6104 = 1358 x 4 + 672
Step 3: We consider the new divisor 1358 and the new remainder 672, and apply the division lemma to get
1358 = 672 x 2 + 14
We consider the new divisor 672 and the new remainder 14, and apply the division lemma to get
672 = 14 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 6104 and 7462 is 14
Notice that 14 = HCF(672,14) = HCF(1358,672) = HCF(6104,1358) = HCF(7462,6104) .
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Frequently Asked Questions on HCF of 6104, 7462 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 6104, 7462?
Answer: HCF of 6104, 7462 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6104, 7462 using Euclid's Algorithm?
Answer: For arbitrary numbers 6104, 7462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
