Highest Common Factor of 1265, 2955 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 1265, 2955 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1265, 2955 is 5 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 1265, 2955 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 1265, 2955 is 5.
HCF(1265, 2955) = 5
HCF of 1265, 2955 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1265, 2955 is 5.
Highest Common Factor of 1265,2955 is 5
Step 1: Since 2955 > 1265, we apply the division lemma to 2955 and 1265, to get
2955 = 1265 x 2 + 425
Step 2: Since the reminder 1265 ≠ 0, we apply division lemma to 425 and 1265, to get
1265 = 425 x 2 + 415
Step 3: We consider the new divisor 425 and the new remainder 415, and apply the division lemma to get
425 = 415 x 1 + 10
We consider the new divisor 415 and the new remainder 10,and apply the division lemma to get
415 = 10 x 41 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1265 and 2955 is 5
Notice that 5 = HCF(10,5) = HCF(415,10) = HCF(425,415) = HCF(1265,425) = HCF(2955,1265) .
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Frequently Asked Questions on HCF of 1265, 2955 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 1265, 2955?
Answer: HCF of 1265, 2955 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1265, 2955 using Euclid's Algorithm?
Answer: For arbitrary numbers 1265, 2955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
