Highest Common Factor of 748, 985, 883 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 748, 985, 883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 748, 985, 883 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 748, 985, 883 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 748, 985, 883 is 1.
HCF(748, 985, 883) = 1
HCF of 748, 985, 883 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 748, 985, 883 is 1.
Highest Common Factor of 748,985,883 is 1
Step 1: Since 985 > 748, we apply the division lemma to 985 and 748, to get
985 = 748 x 1 + 237
Step 2: Since the reminder 748 ≠ 0, we apply division lemma to 237 and 748, to get
748 = 237 x 3 + 37
Step 3: We consider the new divisor 237 and the new remainder 37, and apply the division lemma to get
237 = 37 x 6 + 15
We consider the new divisor 37 and the new remainder 15,and apply the division lemma to get
37 = 15 x 2 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 748 and 985 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(237,37) = HCF(748,237) = HCF(985,748) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 883 > 1, we apply the division lemma to 883 and 1, to get
883 = 1 x 883 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 883 is 1
Notice that 1 = HCF(883,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 748, 985, 883 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 748, 985, 883?
Answer: HCF of 748, 985, 883 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 748, 985, 883 using Euclid's Algorithm?
Answer: For arbitrary numbers 748, 985, 883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.