Highest Common Factor of 6255, 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 6255, 7346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6255, 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 6255, 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 6255, 7346 is 1.
HCF(6255, 7346) = 1
HCF of 6255, 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 6255, 7346 is 1.
Highest Common Factor of 6255,7346 is 1
Step 1: Since 7346 > 6255, we apply the division lemma to 7346 and 6255, to get
7346 = 6255 x 1 + 1091
Step 2: Since the reminder 6255 ≠ 0, we apply division lemma to 1091 and 6255, to get
6255 = 1091 x 5 + 800
Step 3: We consider the new divisor 1091 and the new remainder 800, and apply the division lemma to get
1091 = 800 x 1 + 291
We consider the new divisor 800 and the new remainder 291,and apply the division lemma to get
800 = 291 x 2 + 218
We consider the new divisor 291 and the new remainder 218,and apply the division lemma to get
291 = 218 x 1 + 73
We consider the new divisor 218 and the new remainder 73,and apply the division lemma to get
218 = 73 x 2 + 72
We consider the new divisor 73 and the new remainder 72,and apply the division lemma to get
73 = 72 x 1 + 1
We consider the new divisor 72 and the new remainder 1,and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6255 and 7346 is 1
Notice that 1 = HCF(72,1) = HCF(73,72) = HCF(218,73) = HCF(291,218) = HCF(800,291) = HCF(1091,800) = HCF(6255,1091) = HCF(7346,6255) .
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Frequently Asked Questions on HCF of 6255, 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 6255, 7346?
Answer: HCF of 6255, 7346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6255, 7346 using Euclid's Algorithm?
Answer: For arbitrary numbers 6255, 7346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.