Highest Common Factor of 7760, 4535 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 7760, 4535 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7760, 4535 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 7760, 4535 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 7760, 4535 is 5.
HCF(7760, 4535) = 5
HCF of 7760, 4535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7760, 4535 is 5.
Highest Common Factor of 7760,4535 is 5
Step 1: Since 7760 > 4535, we apply the division lemma to 7760 and 4535, to get
7760 = 4535 x 1 + 3225
Step 2: Since the reminder 4535 ≠ 0, we apply division lemma to 3225 and 4535, to get
4535 = 3225 x 1 + 1310
Step 3: We consider the new divisor 3225 and the new remainder 1310, and apply the division lemma to get
3225 = 1310 x 2 + 605
We consider the new divisor 1310 and the new remainder 605,and apply the division lemma to get
1310 = 605 x 2 + 100
We consider the new divisor 605 and the new remainder 100,and apply the division lemma to get
605 = 100 x 6 + 5
We consider the new divisor 100 and the new remainder 5,and apply the division lemma to get
100 = 5 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7760 and 4535 is 5
Notice that 5 = HCF(100,5) = HCF(605,100) = HCF(1310,605) = HCF(3225,1310) = HCF(4535,3225) = HCF(7760,4535) .
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Frequently Asked Questions on HCF of 7760, 4535 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 7760, 4535?
Answer: HCF of 7760, 4535 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7760, 4535 using Euclid's Algorithm?
Answer: For arbitrary numbers 7760, 4535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.