Highest Common Factor of 1275, 9490 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 1275, 9490 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1275, 9490 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 1275, 9490 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 1275, 9490 is 5.
HCF(1275, 9490) = 5
HCF of 1275, 9490 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1275, 9490 is 5.
Highest Common Factor of 1275,9490 is 5
Step 1: Since 9490 > 1275, we apply the division lemma to 9490 and 1275, to get
9490 = 1275 x 7 + 565
Step 2: Since the reminder 1275 ≠ 0, we apply division lemma to 565 and 1275, to get
1275 = 565 x 2 + 145
Step 3: We consider the new divisor 565 and the new remainder 145, and apply the division lemma to get
565 = 145 x 3 + 130
We consider the new divisor 145 and the new remainder 130,and apply the division lemma to get
145 = 130 x 1 + 15
We consider the new divisor 130 and the new remainder 15,and apply the division lemma to get
130 = 15 x 8 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 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 1275 and 9490 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(130,15) = HCF(145,130) = HCF(565,145) = HCF(1275,565) = HCF(9490,1275) .
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Frequently Asked Questions on HCF of 1275, 9490 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 1275, 9490?
Answer: HCF of 1275, 9490 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1275, 9490 using Euclid's Algorithm?
Answer: For arbitrary numbers 1275, 9490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.