Highest Common Factor of 1255, 7784 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 1255, 7784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1255, 7784 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 1255, 7784 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 1255, 7784 is 1.
HCF(1255, 7784) = 1
HCF of 1255, 7784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1255, 7784 is 1.
Highest Common Factor of 1255,7784 is 1
Step 1: Since 7784 > 1255, we apply the division lemma to 7784 and 1255, to get
7784 = 1255 x 6 + 254
Step 2: Since the reminder 1255 ≠ 0, we apply division lemma to 254 and 1255, to get
1255 = 254 x 4 + 239
Step 3: We consider the new divisor 254 and the new remainder 239, and apply the division lemma to get
254 = 239 x 1 + 15
We consider the new divisor 239 and the new remainder 15,and apply the division lemma to get
239 = 15 x 15 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1255 and 7784 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(239,15) = HCF(254,239) = HCF(1255,254) = HCF(7784,1255) .
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Frequently Asked Questions on HCF of 1255, 7784 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 1255, 7784?
Answer: HCF of 1255, 7784 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1255, 7784 using Euclid's Algorithm?
Answer: For arbitrary numbers 1255, 7784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.