Highest Common Factor of 1140, 7505 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 1140, 7505 i.e. 95 the largest integer that leaves a remainder zero for all numbers.
HCF of 1140, 7505 is 95 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 1140, 7505 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 1140, 7505 is 95.
HCF(1140, 7505) = 95
HCF of 1140, 7505 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1140, 7505 is 95.
Highest Common Factor of 1140,7505 is 95
Step 1: Since 7505 > 1140, we apply the division lemma to 7505 and 1140, to get
7505 = 1140 x 6 + 665
Step 2: Since the reminder 1140 ≠ 0, we apply division lemma to 665 and 1140, to get
1140 = 665 x 1 + 475
Step 3: We consider the new divisor 665 and the new remainder 475, and apply the division lemma to get
665 = 475 x 1 + 190
We consider the new divisor 475 and the new remainder 190,and apply the division lemma to get
475 = 190 x 2 + 95
We consider the new divisor 190 and the new remainder 95,and apply the division lemma to get
190 = 95 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 95, the HCF of 1140 and 7505 is 95
Notice that 95 = HCF(190,95) = HCF(475,190) = HCF(665,475) = HCF(1140,665) = HCF(7505,1140) .
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Frequently Asked Questions on HCF of 1140, 7505 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 1140, 7505?
Answer: HCF of 1140, 7505 is 95 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1140, 7505 using Euclid's Algorithm?
Answer: For arbitrary numbers 1140, 7505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.