Highest Common Factor of 4799, 8507 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 4799, 8507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4799, 8507 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 4799, 8507 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 4799, 8507 is 1.
HCF(4799, 8507) = 1
HCF of 4799, 8507 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4799, 8507 is 1.
Highest Common Factor of 4799,8507 is 1
Step 1: Since 8507 > 4799, we apply the division lemma to 8507 and 4799, to get
8507 = 4799 x 1 + 3708
Step 2: Since the reminder 4799 ≠ 0, we apply division lemma to 3708 and 4799, to get
4799 = 3708 x 1 + 1091
Step 3: We consider the new divisor 3708 and the new remainder 1091, and apply the division lemma to get
3708 = 1091 x 3 + 435
We consider the new divisor 1091 and the new remainder 435,and apply the division lemma to get
1091 = 435 x 2 + 221
We consider the new divisor 435 and the new remainder 221,and apply the division lemma to get
435 = 221 x 1 + 214
We consider the new divisor 221 and the new remainder 214,and apply the division lemma to get
221 = 214 x 1 + 7
We consider the new divisor 214 and the new remainder 7,and apply the division lemma to get
214 = 7 x 30 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4799 and 8507 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(214,7) = HCF(221,214) = HCF(435,221) = HCF(1091,435) = HCF(3708,1091) = HCF(4799,3708) = HCF(8507,4799) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4799, 8507 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 4799, 8507?
Answer: HCF of 4799, 8507 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4799, 8507 using Euclid's Algorithm?
Answer: For arbitrary numbers 4799, 8507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
