Highest Common Factor of 7746, 4655 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 7746, 4655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7746, 4655 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 7746, 4655 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 7746, 4655 is 1.
HCF(7746, 4655) = 1
HCF of 7746, 4655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7746, 4655 is 1.
Highest Common Factor of 7746,4655 is 1
Step 1: Since 7746 > 4655, we apply the division lemma to 7746 and 4655, to get
7746 = 4655 x 1 + 3091
Step 2: Since the reminder 4655 ≠ 0, we apply division lemma to 3091 and 4655, to get
4655 = 3091 x 1 + 1564
Step 3: We consider the new divisor 3091 and the new remainder 1564, and apply the division lemma to get
3091 = 1564 x 1 + 1527
We consider the new divisor 1564 and the new remainder 1527,and apply the division lemma to get
1564 = 1527 x 1 + 37
We consider the new divisor 1527 and the new remainder 37,and apply the division lemma to get
1527 = 37 x 41 + 10
We consider the new divisor 37 and the new remainder 10,and apply the division lemma to get
37 = 10 x 3 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7746 and 4655 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(37,10) = HCF(1527,37) = HCF(1564,1527) = HCF(3091,1564) = HCF(4655,3091) = HCF(7746,4655) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7746, 4655 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 7746, 4655?
Answer: HCF of 7746, 4655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7746, 4655 using Euclid's Algorithm?
Answer: For arbitrary numbers 7746, 4655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.