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 703, 975, 656 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 975, 656 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 703, 975, 656 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 703, 975, 656 is 1.
HCF(703, 975, 656) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 975, 656 is 1.
Step 1: Since 975 > 703, we apply the division lemma to 975 and 703, to get
975 = 703 x 1 + 272
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 272 and 703, to get
703 = 272 x 2 + 159
Step 3: We consider the new divisor 272 and the new remainder 159, and apply the division lemma to get
272 = 159 x 1 + 113
We consider the new divisor 159 and the new remainder 113,and apply the division lemma to get
159 = 113 x 1 + 46
We consider the new divisor 113 and the new remainder 46,and apply the division lemma to get
113 = 46 x 2 + 21
We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get
46 = 21 x 2 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 975 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(113,46) = HCF(159,113) = HCF(272,159) = HCF(703,272) = HCF(975,703) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 656 > 1, we apply the division lemma to 656 and 1, to get
656 = 1 x 656 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 656 is 1
Notice that 1 = HCF(656,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 703, 975, 656?
Answer: HCF of 703, 975, 656 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 975, 656 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 975, 656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.