Highest Common Factor of 1394, 9350 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 1394, 9350 i.e. 34 the largest integer that leaves a remainder zero for all numbers.
HCF of 1394, 9350 is 34 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 1394, 9350 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 1394, 9350 is 34.
HCF(1394, 9350) = 34
HCF of 1394, 9350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1394, 9350 is 34.
Highest Common Factor of 1394,9350 is 34
Step 1: Since 9350 > 1394, we apply the division lemma to 9350 and 1394, to get
9350 = 1394 x 6 + 986
Step 2: Since the reminder 1394 ≠ 0, we apply division lemma to 986 and 1394, to get
1394 = 986 x 1 + 408
Step 3: We consider the new divisor 986 and the new remainder 408, and apply the division lemma to get
986 = 408 x 2 + 170
We consider the new divisor 408 and the new remainder 170,and apply the division lemma to get
408 = 170 x 2 + 68
We consider the new divisor 170 and the new remainder 68,and apply the division lemma to get
170 = 68 x 2 + 34
We consider the new divisor 68 and the new remainder 34,and apply the division lemma to get
68 = 34 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 1394 and 9350 is 34
Notice that 34 = HCF(68,34) = HCF(170,68) = HCF(408,170) = HCF(986,408) = HCF(1394,986) = HCF(9350,1394) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1394, 9350 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 1394, 9350?
Answer: HCF of 1394, 9350 is 34 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1394, 9350 using Euclid's Algorithm?
Answer: For arbitrary numbers 1394, 9350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
