Highest Common Factor of 988, 708 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, 708 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 988, 708 is 4 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, 708 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, 708 is 4.
HCF(988, 708) = 4
HCF of 988, 708 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, 708 is 4.
Highest Common Factor of 988,708 is 4
Step 1: Since 988 > 708, we apply the division lemma to 988 and 708, to get
988 = 708 x 1 + 280
Step 2: Since the reminder 708 ≠ 0, we apply division lemma to 280 and 708, to get
708 = 280 x 2 + 148
Step 3: We consider the new divisor 280 and the new remainder 148, and apply the division lemma to get
280 = 148 x 1 + 132
We consider the new divisor 148 and the new remainder 132,and apply the division lemma to get
148 = 132 x 1 + 16
We consider the new divisor 132 and the new remainder 16,and apply the division lemma to get
132 = 16 x 8 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 988 and 708 is 4
Notice that 4 = HCF(16,4) = HCF(132,16) = HCF(148,132) = HCF(280,148) = HCF(708,280) = HCF(988,708) .
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, 708 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, 708?
Answer: HCF of 988, 708 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 988, 708 using Euclid's Algorithm?
Answer: For arbitrary numbers 988, 708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
