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 6770, 4494 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6770, 4494 is 2 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 6770, 4494 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 6770, 4494 is 2.
HCF(6770, 4494) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6770, 4494 is 2.
Step 1: Since 6770 > 4494, we apply the division lemma to 6770 and 4494, to get
6770 = 4494 x 1 + 2276
Step 2: Since the reminder 4494 ≠ 0, we apply division lemma to 2276 and 4494, to get
4494 = 2276 x 1 + 2218
Step 3: We consider the new divisor 2276 and the new remainder 2218, and apply the division lemma to get
2276 = 2218 x 1 + 58
We consider the new divisor 2218 and the new remainder 58,and apply the division lemma to get
2218 = 58 x 38 + 14
We consider the new divisor 58 and the new remainder 14,and apply the division lemma to get
58 = 14 x 4 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6770 and 4494 is 2
Notice that 2 = HCF(14,2) = HCF(58,14) = HCF(2218,58) = HCF(2276,2218) = HCF(4494,2276) = HCF(6770,4494) .
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 6770, 4494?
Answer: HCF of 6770, 4494 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6770, 4494 using Euclid's Algorithm?
Answer: For arbitrary numbers 6770, 4494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.