Highest Common Factor of 988, 4757 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 988, 4757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 988, 4757 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 988, 4757 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 988, 4757 is 1.
HCF(988, 4757) = 1
HCF of 988, 4757 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 988, 4757 is 1.
Highest Common Factor of 988,4757 is 1
Step 1: Since 4757 > 988, we apply the division lemma to 4757 and 988, to get
4757 = 988 x 4 + 805
Step 2: Since the reminder 988 ≠ 0, we apply division lemma to 805 and 988, to get
988 = 805 x 1 + 183
Step 3: We consider the new divisor 805 and the new remainder 183, and apply the division lemma to get
805 = 183 x 4 + 73
We consider the new divisor 183 and the new remainder 73,and apply the division lemma to get
183 = 73 x 2 + 37
We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get
73 = 37 x 1 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 988 and 4757 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(183,73) = HCF(805,183) = HCF(988,805) = HCF(4757,988) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 988, 4757 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 988, 4757?
Answer: HCF of 988, 4757 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 988, 4757 using Euclid's Algorithm?
Answer: For arbitrary numbers 988, 4757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.